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121,992

121,992 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.).

121,992 (one hundred twenty-one thousand nine hundred ninety-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 13 × 17 × 23. Its proper divisors sum to 240,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DC88.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
324
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
299,121
Square (n²)
14,882,048,064
Cube (n³)
1,815,490,807,423,488
Divisor count
64
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
33,792
Sum of prime factors
62

Primality

Prime factorization: 2 3 × 3 × 13 × 17 × 23

Nearest primes: 121,967 (−25) · 121,993 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 17 · 23 · 24 · 26 · 34 · 39 · 46 · 51 · 52 · 68 · 69 · 78 · 92 · 102 · 104 · 136 · 138 · 156 · 184 · 204 · 221 · 276 · 299 · 312 · 391 · 408 · 442 · 552 · 598 · 663 · 782 · 884 · 897 · 1173 · 1196 · 1326 · 1564 · 1768 · 1794 · 2346 · 2392 · 2652 · 3128 · 3588 · 4692 · 5083 · 5304 · 7176 · 9384 · 10166 · 15249 · 20332 · 30498 · 40664 · 60996 (half) · 121992
Aliquot sum (sum of proper divisors): 240,888
Factor pairs (a × b = 121,992)
1 × 121992
2 × 60996
3 × 40664
4 × 30498
6 × 20332
8 × 15249
12 × 10166
13 × 9384
17 × 7176
23 × 5304
24 × 5083
26 × 4692
34 × 3588
39 × 3128
46 × 2652
51 × 2392
52 × 2346
68 × 1794
69 × 1768
78 × 1564
92 × 1326
102 × 1196
104 × 1173
136 × 897
138 × 884
156 × 782
184 × 663
204 × 598
221 × 552
276 × 442
299 × 408
312 × 391
First multiples
121,992 · 243,984 (double) · 365,976 · 487,968 · 609,960 · 731,952 · 853,944 · 975,936 · 1,097,928 · 1,219,920

Sums & aliquot sequence

As consecutive integers: 40,663 + 40,664 + 40,665 9,378 + 9,379 + … + 9,390 7,617 + 7,618 + … + 7,632 7,168 + 7,169 + … + 7,184
Aliquot sequence: 121,992 240,888 361,392 572,328 977,922 1,356,228 2,115,240 4,230,840 8,462,040 17,146,920 42,469,080 85,368,360 233,966,040 641,162,280 1,457,191,320 3,543,295,080 7,904,278,680 — unresolved within range

Continued fraction of √n

√121,992 = [349; (3, 1, 1, 1, 9, 1, 1, 1, 3, 698)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand nine hundred ninety-two
Ordinal
121992nd
Binary
11101110010001000
Octal
356210
Hexadecimal
0x1DC88
Base64
AdyI
One's complement
4,294,845,303 (32-bit)
Scientific notation
1.21992 × 10⁵
As a duration
121,992 s = 1 day, 9 hours, 53 minutes, 12 seconds
In other bases
ternary (3) 20012100020
quaternary (4) 131302020
quinary (5) 12400432
senary (6) 2340440
septenary (7) 1015443
nonary (9) 205306
undecimal (11) 83722
duodecimal (12) 5a720
tridecimal (13) 436b0
tetradecimal (14) 3265a
pentadecimal (15) 2622c

As an angle

121,992° = 338 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκαϡϟβʹ
Mayan (base 20)
𝋯·𝋤·𝋳·𝋬
Chinese
一十二萬一千九百九十二
Chinese (financial)
壹拾貳萬壹仟玖佰玖拾貳
In other modern scripts
Eastern Arabic ١٢١٩٩٢ Devanagari १२१९९२ Bengali ১২১৯৯২ Tamil ௧௨௧௯௯௨ Thai ๑๒๑๙๙๒ Tibetan ༡༢༡༩༩༢ Khmer ១២១៩៩២ Lao ໑໒໑໙໙໒ Burmese ၁၂၁၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121992, here are decompositions:

  • 29 + 121963 = 121992
  • 41 + 121951 = 121992
  • 43 + 121949 = 121992
  • 61 + 121931 = 121992
  • 71 + 121921 = 121992
  • 83 + 121909 = 121992
  • 103 + 121889 = 121992
  • 109 + 121883 = 121992

Showing the first eight; more decompositions exist.

Hex color
#01DC88
RGB(1, 220, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.136.

Address
0.1.220.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.136

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 121,992 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 121992 first appears in π at position 1,425 of the decimal expansion (the 1,425ordinal-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°.