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Number

1,200

1,200 is a composite number, even, a calendar year.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1200 AD

Calendar year

1200 (MCC) was a leap year starting on Saturday of the Julian calendar, the 1200th year of the Common Era (CE) and Anno Domini (AD) designations, the 200th year of the 2nd millennium, the 100th and last year of the 12th century, and the 1st year of the 1200s decade.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Leap year
Divisible by 400 (Gregorian leap-year rule exception to the century rule).
Days in year
366
ISO weeks
52
Started on
Saturday
January 1, 1200
Ended on
Sunday
December 31, 1200
Friday the 13ths
1
One Friday the 13th this year.
Decade
1200s
1200–1209
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
826
826 years before 2026.

In other calendars

Hebrew
4960 / 4961 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
596 / 597 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1743 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
578 / 579 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1192 / 1193 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1122 / 1121 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
3
Digit product
0
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
21
Recamán's sequence
a(8,588) = 1,200
Square (n²)
1,440,000
Cube (n³)
1,728,000,000
Divisor count
30
σ(n) — sum of divisors
3,844
φ(n) — Euler's totient
320
Sum of prime factors
21

Primality

Prime factorization: 2 4 × 3 × 5 2

Nearest primes: 1,193 (−7) · 1,201 (+1)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 40 · 48 · 50 · 60 · 75 · 80 · 100 · 120 · 150 · 200 · 240 · 300 · 400 · 600 (half) · 1200
Aliquot sum (sum of proper divisors): 2,644
Factor pairs (a × b = 1,200)
1 × 1200
2 × 600
3 × 400
4 × 300
5 × 240
6 × 200
8 × 150
10 × 120
12 × 100
15 × 80
16 × 75
20 × 60
24 × 50
25 × 48
30 × 40
First multiples
1,200 · 2,400 (double) · 3,600 · 4,800 · 6,000 · 7,200 · 8,400 · 9,600 · 10,800 · 12,000

Sums & aliquot sequence

As consecutive integers: 399 + 400 + 401 238 + 239 + 240 + 241 + 242 73 + 74 + … + 87 36 + 37 + … + 60
Aliquot sequence: 1,200 2,644 1,990 1,610 1,846 1,178 742 554 280 440 640 890 730 602 454 230 202 — unresolved within range

Representations

In words
one thousand two hundred
Ordinal
1200th
Roman numeral
MCC
Binary
10010110000
Octal
2260
Hexadecimal
0x4B0
Base64
BLA=
One's complement
64,335 (16-bit)
In other bases
ternary (3) 1122110
quaternary (4) 102300
quinary (5) 14300
senary (6) 5320
septenary (7) 3333
nonary (9) 1573
undecimal (11) 9a1
duodecimal (12) 840
tridecimal (13) 714
tetradecimal (14) 61a
pentadecimal (15) 550

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 ·
Egyptian hieroglyphic
𓆼𓍢𓍢
Greek (Milesian)
͵ασʹ
Mayan (base 20)
𝋣·𝋠·𝋠
Chinese
一千二百
Chinese (financial)
壹仟貳佰
In other modern scripts
Eastern Arabic ١٢٠٠ Devanagari १२०० Bengali ১২০০ Tamil ௧௨௦௦ Thai ๑๒๐๐ Tibetan ༡༢༠༠ Khmer ១២០០ Lao ໑໒໐໐ Burmese ၁၂၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 1,200 = 1
e — Euler's number (e)
Digit 1,200 = 0
φ — Golden ratio (φ)
Digit 1,200 = 3
√2 — Pythagoras's (√2)
Digit 1,200 = 8
ln 2 — Natural log of 2
Digit 1,200 = 2
γ — Euler-Mascheroni (γ)
Digit 1,200 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1200, here are decompositions:

  • 7 + 1193 = 1200
  • 13 + 1187 = 1200
  • 19 + 1181 = 1200
  • 29 + 1171 = 1200
  • 37 + 1163 = 1200
  • 47 + 1153 = 1200
  • 71 + 1129 = 1200
  • 83 + 1117 = 1200

Showing the first eight; more decompositions exist.

Unicode codepoint
Ұ
Cyrillic Capital Letter Straight U With Stroke
U+04B0
Uppercase letter (Lu)

UTF-8 encoding: D2 B0 (2 bytes).

Code page identifier

Code page 1200 is UTF-16 LE — Little-endian UTF-16 — Windows internal Unicode.

Code pages are integer identifiers used by Windows and other systems to refer to specific character encodings.

Hex color
#0004B0
RGB(0, 4, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.176.

Address
0.0.4.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.176

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

Position in π

The digit sequence 1200 first appears in π at position 8,622 of the decimal expansion (the 8,622ordinal-suffix:nd 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.