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122,118

122,118 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

122,118 (one hundred twenty-two thousand one hundred eighteen) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 20,353. Its proper divisors sum to 122,130, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD06.

Abundant Number Arithmetic Number Cube-Free Odious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
32
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
811,221
Square (n²)
14,912,805,924
Cube (n³)
1,821,122,033,827,032
Divisor count
8
σ(n) — sum of divisors
244,248
φ(n) — Euler's totient
40,704
Sum of prime factors
20,358

Primality

Prime factorization: 2 × 3 × 20353

Nearest primes: 122,117 (−1) · 122,131 (+13)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 20353 · 40706 · 61059 (half) · 122118
Aliquot sum (sum of proper divisors): 122,130
Factor pairs (a × b = 122,118)
1 × 122118
2 × 61059
3 × 40706
6 × 20353
First multiples
122,118 · 244,236 (double) · 366,354 · 488,472 · 610,590 · 732,708 · 854,826 · 976,944 · 1,099,062 · 1,221,180

Sums & aliquot sequence

As consecutive integers: 40,705 + 40,706 + 40,707 30,528 + 30,529 + 30,530 + 30,531 10,171 + 10,172 + … + 10,182
Aliquot sequence: 122,118 122,130 214,830 504,018 588,060 1,445,244 2,044,116 3,326,886 4,066,314 5,394,774 8,058,282 8,058,294 9,401,382 11,466,738 15,515,982 18,964,098 25,013,502 — unresolved within range

Continued fraction of √n

√122,118 = [349; (2, 4, 1, 11, 4, 3, 4, 1, 1, 1, 5, 2, 17, 1, 13, 1, 12, 3, 1, 15, 2, 232, 2, 15, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand one hundred eighteen
Ordinal
122118th
Binary
11101110100000110
Octal
356406
Hexadecimal
0x1DD06
Base64
Ad0G
One's complement
4,294,845,177 (32-bit)
Scientific notation
1.22118 × 10⁵
As a duration
122,118 s = 1 day, 9 hours, 55 minutes, 18 seconds
In other bases
ternary (3) 20012111220
quaternary (4) 131310012
quinary (5) 12401433
senary (6) 2341210
septenary (7) 1016013
nonary (9) 205456
undecimal (11) 83827
duodecimal (12) 5a806
tridecimal (13) 43779
tetradecimal (14) 3270a
pentadecimal (15) 262b3

As an angle

122,118° = 339 × 360° + 78°
78° ≈ 1.361 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβριηʹ
Mayan (base 20)
𝋯·𝋥·𝋥·𝋲
Chinese
一十二萬二千一百一十八
Chinese (financial)
壹拾貳萬貳仟壹佰壹拾捌
In other modern scripts
Eastern Arabic ١٢٢١١٨ Devanagari १२२११८ Bengali ১২২১১৮ Tamil ௧௨௨௧௧௮ Thai ๑๒๒๑๑๘ Tibetan ༡༢༢༡༡༨ Khmer ១២២១១៨ Lao ໑໒໒໑໑໘ Burmese ၁၂၂၁၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122118, here are decompositions:

  • 19 + 122099 = 122118
  • 37 + 122081 = 122118
  • 67 + 122051 = 122118
  • 79 + 122039 = 122118
  • 89 + 122029 = 122118
  • 97 + 122021 = 122118
  • 107 + 122011 = 122118
  • 151 + 121967 = 122118

Showing the first eight; more decompositions exist.

Hex color
#01DD06
RGB(1, 221, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.6.

Address
0.1.221.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.6

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 122,118 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 122118 first appears in π at position 788,036 of the decimal expansion (the 788,036ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.