Number

1,122

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

1,122 (one thousand one hundred twenty-two) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 17. Its proper divisors sum to 1,470, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCXXII and in binary, 10001100010.

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

Interestingness

★ ★ ★ ★ ★

10 notable facts · grade A

1,110 1,111 1,112 1,113 1,114 1,115 1,116 1,117 1,118 1,119 1,120 1,121 1,122 1,123 1,124 1,125 1,126 1,127 1,128 1,129 1,130 1,131 1,132 1,133 1,134

less more

Historical context — 1122 AD

Calendar year

Year 1122 (MCXXII) was a common year starting on Sunday of the Julian calendar.

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

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

Continued fraction of √n

√1,122 = [33; (2, 66)]

Period length 2 — the block in parentheses repeats forever.

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)
Scientific notation: 1.122 × 10³
As a duration: 1,122 s = 18 minutes, 42 seconds

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

As an angle

1,122° = 3 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

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

Cyrillic Capital Letter Yat

U+0462

Uppercase letter (Lu)

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

Lookup U+0462 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,122 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯6 (1108.7 Hz, +21¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, -42¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, +22¢)

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.

Look up 1122 on Pi Search ↗