Number

1,212

1,212 is a composite number, even, a calendar year.

1,212 (one thousand two hundred twelve) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 101. Its proper divisors sum to 1,644, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCXII and in binary, 10010111100.

Abundant Number Arithmetic Number Consecutive Digits Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Recamán's Sequence Refactorable Number Self Number Semiperfect Number Undulating Number Year Zuckerman Number

Interestingness

★ ★ ★ ★ ★

12 notable facts · grade A

1,200 1,201 1,202 1,203 1,204 1,205 1,206 1,207 1,208 1,209 1,210 1,211 1,212 1,213 1,214 1,215 1,216 1,217 1,218 1,219 1,220 1,221 1,222 1,223 1,224

less more

Notable events — 1212 AD

Jul 16 Christian armies defeat the Almohads at Las Navas de Tolosa, decisive turning point of the Reconquista.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Sunday
January 1, 1212
Ended on: Monday
December 31, 1212
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1210s
1210–1219
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 814
814 years before 2026.

In other calendars

Hebrew: 4972 / 4973 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 608 / 609 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1755 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 590 / 591 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1204 / 1205 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1134 / 1133 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digit product: 4
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 2,121
Recamán's sequence: a(8,564) = 1,212
Square (n²): 1,468,944
Cube (n³): 1,780,360,128
Divisor count: 12
σ(n) — sum of divisors: 2,856
φ(n) — Euler's totient: 400
Sum of prime factors: 108

Primality

Prime factorization: 2 ² × 3 × 101

Nearest primes: 1,201 (−11) · 1,213 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 101 · 202 · 303 · 404 · 606 (half) · 1212

Aliquot sum (sum of proper divisors): 1,644

Factor pairs (a × b = 1,212)

1 × 1212

2 × 606

3 × 404

4 × 303

6 × 202

12 × 101

First multiples

1,212 · 2,424 (double) · 3,636 · 4,848 · 6,060 · 7,272 · 8,484 · 9,696 · 10,908 · 12,120

Sums & aliquot sequence

As consecutive integers: 403 + 404 + 405 148 + 149 + … + 155 39 + 40 + … + 62

Aliquot sequence: 1,212 → 1,644 → 2,220 → 4,164 → 5,580 → 11,892 → 15,884 → 16,120 → 24,200 → 37,645 → 7,535 → 2,401 → 400 → 561 → 303 → 105 → 87 — unresolved within range

Continued fraction of √n

√1,212 = [34; (1, 4, 2, 1, 2, 2, 1, 16, 1, 2, 2, 1, 2, 4, 1, 68)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one thousand two hundred twelve
Ordinal: 1212th
Roman numeral: MCCXII
Binary: 10010111100
Octal: 2274
Hexadecimal: 0x4BC
Base64: BLw=
One's complement: 64,323 (16-bit)
Scientific notation: 1.212 × 10³
As a duration: 1,212 s = 20 minutes, 12 seconds

In other bases

ternary (3) 1122220

quaternary (4) 102330

quinary (5) 14322

senary (6) 5340

septenary (7) 3351

nonary (9) 1586

undecimal (11) a02

duodecimal (12) 850

tridecimal (13) 723

tetradecimal (14) 628

pentadecimal (15) 55c

As an angle

1,212° = 3 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓎆𓏺𓏺
Greek (Milesian): ͵ασιβʹ
Mayan (base 20): 𝋣·𝋠·𝋬
Chinese: 一千二百一十二
Chinese (financial): 壹仟貳佰壹拾貳

In other modern scripts

Eastern Arabic ١٢١٢ Devanagari १२१२ Bengali ১২১২ Tamil ௧௨௧௨ Thai ๑๒๑๒ Tibetan ༡༢༡༢ Khmer ១២១២ Lao ໑໒໑໒ Burmese ၁၂၁၂

Digit at this position in famous constants

π — Pi (π): Digit 1,212 = 6
e — Euler's number (e): Digit 1,212 = 5
φ — Golden ratio (φ): Digit 1,212 = 2
√2 — Pythagoras's (√2): Digit 1,212 = 5
ln 2 — Natural log of 2: Digit 1,212 = 0
γ — Euler-Mascheroni (γ): Digit 1,212 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1212, here are decompositions:

11 + 1201 = 1212
19 + 1193 = 1212
31 + 1181 = 1212
41 + 1171 = 1212
59 + 1153 = 1212
61 + 1151 = 1212
83 + 1129 = 1212
89 + 1123 = 1212

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Abkhasian Che

U+04BC

Uppercase letter (Lu)

UTF-8 encoding: D2 BC (2 bytes).

Lookup U+04BC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0004BC

RGB(0, 4, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.188.

Address: 0.0.4.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.188

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 1,212 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, -46¢ — about midway to D6)
Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, -8¢)
Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, -45¢ — about midway to D♯6)

Position in π

The digit sequence 1212 first appears in π at position 710 of the decimal expansion (the 710ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1212 on Pi Search ↗