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122,988

122,988 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.).

122,988 (one hundred twenty-two thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 37 × 277. Its proper divisors sum to 172,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E06C.

Abundant Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
2,304
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
889,221
Square (n²)
15,126,048,144
Cube (n³)
1,860,322,409,134,272
Divisor count
24
σ(n) — sum of divisors
295,792
φ(n) — Euler's totient
39,744
Sum of prime factors
321

Primality

Prime factorization: 2 2 × 3 × 37 × 277

Nearest primes: 122,971 (−17) · 123,001 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 37 · 74 · 111 · 148 · 222 · 277 · 444 · 554 · 831 · 1108 · 1662 · 3324 · 10249 · 20498 · 30747 · 40996 · 61494 (half) · 122988
Aliquot sum (sum of proper divisors): 172,804
Factor pairs (a × b = 122,988)
1 × 122988
2 × 61494
3 × 40996
4 × 30747
6 × 20498
12 × 10249
37 × 3324
74 × 1662
111 × 1108
148 × 831
222 × 554
277 × 444
First multiples
122,988 · 245,976 (double) · 368,964 · 491,952 · 614,940 · 737,928 · 860,916 · 983,904 · 1,106,892 · 1,229,880

Sums & aliquot sequence

As consecutive integers: 40,995 + 40,996 + 40,997 15,370 + 15,371 + … + 15,377 5,113 + 5,114 + … + 5,136 3,306 + 3,307 + … + 3,342
Aliquot sequence: 122,988 172,804 129,610 121,886 60,946 33,518 16,762 10,868 12,652 9,496 8,324 6,250 5,468 4,108 3,732 5,004 7,736 — unresolved within range

Continued fraction of √n

√122,988 = [350; (1, 2, 3, 2, 1, 1, 14, 2, 1, 174, 1, 2, 14, 1, 1, 2, 3, 2, 1, 700)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand nine hundred eighty-eight
Ordinal
122988th
Binary
11110000001101100
Octal
360154
Hexadecimal
0x1E06C
Base64
AeBs
One's complement
4,294,844,307 (32-bit)
Scientific notation
1.22988 × 10⁵
As a duration
122,988 s = 1 day, 10 hours, 9 minutes, 48 seconds
In other bases
ternary (3) 20020201010
quaternary (4) 132001230
quinary (5) 12413423
senary (6) 2345220
septenary (7) 1021365
nonary (9) 206633
undecimal (11) 84448
duodecimal (12) 5b210
tridecimal (13) 43c98
tetradecimal (14) 32b6c
pentadecimal (15) 26693
Palindromic in base 11

As an angle

122,988° = 341 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβϡπηʹ
Mayan (base 20)
𝋯·𝋧·𝋩·𝋨
Chinese
一十二萬二千九百八十八
Chinese (financial)
壹拾貳萬貳仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٢٢٩٨٨ Devanagari १२२९८८ Bengali ১২২৯৮৮ Tamil ௧௨௨௯௮௮ Thai ๑๒๒๙๘๘ Tibetan ༡༢༢༩༨༨ Khmer ១២២៩៨៨ Lao ໑໒໒໙໘໘ Burmese ၁၂၂၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122988, here are decompositions:

  • 17 + 122971 = 122988
  • 31 + 122957 = 122988
  • 59 + 122929 = 122988
  • 67 + 122921 = 122988
  • 97 + 122891 = 122988
  • 101 + 122887 = 122988
  • 127 + 122861 = 122988
  • 139 + 122849 = 122988

Showing the first eight; more decompositions exist.

Unicode codepoint
𞁬
Modifier Letter Cyrillic Small Yeru With Back Yer
U+1E06C
Modifier letter (Lm)

UTF-8 encoding: F0 9E 81 AC (4 bytes).

Hex color
#01E06C
RGB(1, 224, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.108.

Address
0.1.224.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.224.108

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 122,988 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 122988 first appears in π at position 37,524 of the decimal expansion (the 37,524ordinal-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°.