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Number

1,122

1,122 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Pronic / Oblong Recamán's Sequence Self Number Semiperfect Number Squarefree Year

Historical context — 1122 AD

Calendar year

Year 1122 (MCXXII) was a common year starting on Sunday 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
Sunday
January 1, 1122
Ended on
Sunday
December 31, 1122
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1120s
1120–1129
Century
12th century
1101–1200
Millennium
2nd millennium
1001–2000
Years ago
904
904 years before 2026.

In other calendars

Hebrew
4882 / 4883 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
515 / 516 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1665 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
500 / 501 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1114 / 1115 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1044 / 1043 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
2,211
Recamán's sequence
a(1,928) = 1,122
Square (n²)
1,258,884
Cube (n³)
1,412,467,848
Divisor count
16
σ(n) — sum of divisors
2,592
φ(n) — Euler's totient
320
Sum of prime factors
33

Primality

Prime factorization: 2 × 3 × 11 × 17

Nearest primes: 1,117 (−5) · 1,123 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 11 · 17 · 22 · 33 · 34 · 51 · 66 · 102 · 187 · 374 · 561 (half) · 1122
Aliquot sum (sum of proper divisors): 1,470
Factor pairs (a × b = 1,122)
1 × 1122
2 × 561
3 × 374
6 × 187
11 × 102
17 × 66
22 × 51
33 × 34
First multiples
1,122 · 2,244 (double) · 3,366 · 4,488 · 5,610 · 6,732 · 7,854 · 8,976 · 10,098 · 11,220

Sums & aliquot sequence

As consecutive integers: 373 + 374 + 375 279 + 280 + 281 + 282 97 + 98 + … + 107 88 + 89 + … + 99
Aliquot sequence: 1,122 1,470 2,634 2,646 4,194 4,932 7,626 8,502 9,978 9,990 17,370 28,026 35,136 67,226 33,616 37,808 40,312 — unresolved within range

Representations

In words
one thousand one hundred twenty-two
Ordinal
1122nd
Roman numeral
MCXXII
Binary
10001100010
Octal
2142
Hexadecimal
0x462
Base64
BGI=
One's complement
64,413 (16-bit)
In other bases
ternary (3) 1112120
quaternary (4) 101202
quinary (5) 13442
senary (6) 5110
septenary (7) 3162
nonary (9) 1476
undecimal (11) 930
duodecimal (12) 796
tridecimal (13) 684
tetradecimal (14) 5a2
pentadecimal (15) 4ec

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αρκβʹ
Mayan (base 20)
𝋢·𝋰·𝋢
Chinese
一千一百二十二
Chinese (financial)
壹仟壹佰貳拾貳
In other modern scripts
Eastern Arabic ١١٢٢ Devanagari ११२२ Bengali ১১২২ Tamil ௧௧௨௨ Thai ๑๑๒๒ Tibetan ༡༡༢༢ Khmer ១១២២ Lao ໑໑໒໒ Burmese ၁၁၂၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,122 = 5
e — Euler's number (e)
Digit 1,122 = 4
φ — Golden ratio (φ)
Digit 1,122 = 8
√2 — Pythagoras's (√2)
Digit 1,122 = 5
ln 2 — Natural log of 2
Digit 1,122 = 6
γ — Euler-Mascheroni (γ)
Digit 1,122 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1122, here are decompositions:

  • 5 + 1117 = 1122
  • 13 + 1109 = 1122
  • 19 + 1103 = 1122
  • 29 + 1093 = 1122
  • 31 + 1091 = 1122
  • 53 + 1069 = 1122
  • 59 + 1063 = 1122
  • 61 + 1061 = 1122

Showing the first eight; more decompositions exist.

Unicode codepoint
Ѣ
Cyrillic Capital Letter Yat
U+0462
Uppercase letter (Lu)

UTF-8 encoding: D1 A2 (2 bytes).

Hex color
#000462
RGB(0, 4, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.98.

Address
0.0.4.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.98

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001122
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1122 first appears in π at position 12,017 of the decimal expansion (the 12,017ordinal-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.