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Number

1,221

1,221 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Gapful Number Happy Number Odious Number Palindrome Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 1221 AD

Calendar year

Year 1221 (MCCXXI) was a common year starting on Friday of the Julian calendar.

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Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Friday
January 1, 1221
Ended on
Friday
December 31, 1221
Friday the 13ths
1
One Friday the 13th this year.
Decade
1220s
1220–1229
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
805
805 years before 2026.

In other calendars

Hebrew
4981 / 4982 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
617 / 618 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Snake
Sexagenary cycle position 18 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1764 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
599 / 600 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1213 / 1214 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1143 / 1142 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
6
Digit product
4
Digital root
6
Palindrome
Yes
Bit width
11 bits
Recamán's sequence
a(8,546) = 1,221
Square (n²)
1,490,841
Cube (n³)
1,820,316,861
Divisor count
8
σ(n) — sum of divisors
1,824
φ(n) — Euler's totient
720
Sum of prime factors
51

Primality

Prime factorization: 3 × 11 × 37

Nearest primes: 1,217 (−4) · 1,223 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 11 · 33 · 37 · 111 · 407 · 1221
Aliquot sum (sum of proper divisors): 603
Factor pairs (a × b = 1,221)
1 × 1221
3 × 407
11 × 111
33 × 37
First multiples
1,221 · 2,442 (double) · 3,663 · 4,884 · 6,105 · 7,326 · 8,547 · 9,768 · 10,989 · 12,210

Sums & aliquot sequence

As consecutive integers: 610 + 611 406 + 407 + 408 201 + 202 + 203 + 204 + 205 + 206 106 + 107 + … + 116
Aliquot sequence: 1,221 603 281 1 0 — terminates at zero

Representations

In words
one thousand two hundred twenty-one
Ordinal
1221st
Roman numeral
MCCXXI
Binary
10011000101
Octal
2305
Hexadecimal
0x4C5
Base64
BMU=
One's complement
64,314 (16-bit)
In other bases
ternary (3) 1200020
quaternary (4) 103011
quinary (5) 14341
senary (6) 5353
septenary (7) 3363
nonary (9) 1606
undecimal (11) a10
duodecimal (12) 859
tridecimal (13) 72c
tetradecimal (14) 633
pentadecimal (15) 566

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ασκαʹ
Mayan (base 20)
𝋣·𝋡·𝋡
Chinese
一千二百二十一
Chinese (financial)
壹仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٢٢١ Devanagari १२२१ Bengali ১২২১ Tamil ௧௨௨௧ Thai ๑๒๒๑ Tibetan ༡༢༢༡ Khmer ១២២១ Lao ໑໒໒໑ Burmese ၁၂၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,221 = 0
e — Euler's number (e)
Digit 1,221 = 7
φ — Golden ratio (φ)
Digit 1,221 = 9
√2 — Pythagoras's (√2)
Digit 1,221 = 6
ln 2 — Natural log of 2
Digit 1,221 = 5
γ — Euler-Mascheroni (γ)
Digit 1,221 = 4

Also seen as

Unicode codepoint
Ӆ
Cyrillic Capital Letter El With Tail
U+04C5
Uppercase letter (Lu)

UTF-8 encoding: D3 85 (2 bytes).

Hex color
#0004C5
RGB(0, 4, 197)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.197.

Address
0.0.4.197
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.197

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

Position in π

The digit sequence 1221 first appears in π at position 8,731 of the decimal expansion (the 8,731ordinal-suffix:st 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.