number.wiki
Number

122

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

122 (one hundred twenty-two) is an even 3-digit number. It is a composite number with 4 divisors, and factors as 2 × 61. Written other ways, in Roman numerals it is CXXII and in binary, 1111010.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

4 notable facts · grade D
less more

Historical context — 122 AD

Calendar year

Year 122 (CXXII) was a common year starting on Wednesday of the Julian calendar.

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

Historical context — 122 BC

Calendar year

Year 122 BC was a year of the pre-Julian Roman 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 122
Ended on
Thursday
December 31, 122
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
120s
120–129
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,904
1904 years before 2026.

In other calendars

Hebrew
3882 / 3883 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Water zodiac:Dog
Sexagenary cycle position 59 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
665 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
114 / 115 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
44 / 43 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
5
Digit product
4
Digital root
5
Palindrome
No
Bit width
7 bits
Reversed
221
Recamán's sequence
a(156) = 122
Square (n²)
14,884
Cube (n³)
1,815,848
Divisor count
4
σ(n) — sum of divisors
186
φ(n) — Euler's totient
60
Sum of prime factors
63

Primality

Prime factorization: 2 × 61

Nearest primes: 113 (−9) · 127 (+5)

Divisors & multiples

All divisors (4)
1 · 2 · 61 (half) · 122
Aliquot sum (sum of proper divisors): 64
Factor pairs (a × b = 122)
1 × 122
2 × 61
First multiples
122 · 244 (double) · 366 · 488 · 610 · 732 · 854 · 976 · 1,098 · 1,220

Sums & aliquot sequence

As a sum of two squares: 1² + 11²
As consecutive integers: 29 + 30 + 31 + 32
Aliquot sequence: 122 64 63 41 1 0 — terminates at zero

Continued fraction of √n

√122 = [11; (22)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two
Ordinal
122nd
Roman numeral
CXXII
Binary
1111010
Octal
172
Hexadecimal
0x7A
Base64
eg==
One's complement
133 (8-bit)
Scientific notation
1.22 × 10²
As a duration
122 s = 2 minutes, 2 seconds
In other bases
ternary (3) 11112
quaternary (4) 1322
quinary (5) 442
senary (6) 322
septenary (7) 233
nonary (9) 145
undecimal (11) 101
duodecimal (12) a2
tridecimal (13) 95
tetradecimal (14) 8a
pentadecimal (15) 82
Palindromic in base 11

As an angle

122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
ρκβʹ
Mayan (base 20)
𝋦·𝋢
Chinese
一百二十二
Chinese (financial)
壹佰貳拾貳
In other modern scripts
Eastern Arabic ١٢٢ Devanagari १२२ Bengali ১২২ Tamil ௧௨௨ Thai ๑๒๒ Tibetan ༡༢༢ Khmer ១២២ Lao ໑໒໒ Burmese ၁၂၂

Digit at this position in famous constants

π — Pi (π)
Digit 122 = 0
e — Euler's number (e)
Digit 122 = 8
φ — Golden ratio (φ)
Digit 122 = 1
√2 — Pythagoras's (√2)
Digit 122 = 9
ln 2 — Natural log of 2
Digit 122 = 6
γ — Euler-Mascheroni (γ)
Digit 122 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122, here are decompositions:

  • 13 + 109 = 122
  • 19 + 103 = 122
  • 43 + 79 = 122
  • 61 + 61 = 122
ASCII character

As an ASCII codepoint, 122 is z. Printable ASCII character z.

Hex color
#00007A
RGB(0, 0, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.122.

Address
0.0.0.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.122

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

Musical pitch

Heard as a frequency, 122 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B2 (123.5 Hz, -21¢)
  • Scientific pitch (C4 = 256 Hz): B2 (120.8 Hz, +17¢)
  • Baroque pitch (A4 = 415 Hz): C3 (123.4 Hz, -19¢)

As a MIDI note number, 122 is D9 (9397.3 Hz at concert pitch).

Food additive (E-number)

On an ingredients label, E122 is Azorubine (carmoisine), a food colour.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.