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122,912

122,912 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.).

122,912 (one hundred twenty-two thousand nine hundred twelve) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 23 × 167. Its proper divisors sum to 131,104, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E020.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
72
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
219,221
Square (n²)
15,107,359,744
Cube (n³)
1,856,875,800,854,528
Divisor count
24
σ(n) — sum of divisors
254,016
φ(n) — Euler's totient
58,432
Sum of prime factors
200

Primality

Prime factorization: 2 5 × 23 × 167

Nearest primes: 122,891 (−21) · 122,921 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 23 · 32 · 46 · 92 · 167 · 184 · 334 · 368 · 668 · 736 · 1336 · 2672 · 3841 · 5344 · 7682 · 15364 · 30728 · 61456 (half) · 122912
Aliquot sum (sum of proper divisors): 131,104
Factor pairs (a × b = 122,912)
1 × 122912
2 × 61456
4 × 30728
8 × 15364
16 × 7682
23 × 5344
32 × 3841
46 × 2672
92 × 1336
167 × 736
184 × 668
334 × 368
First multiples
122,912 · 245,824 (double) · 368,736 · 491,648 · 614,560 · 737,472 · 860,384 · 983,296 · 1,106,208 · 1,229,120

Sums & aliquot sequence

As consecutive integers: 5,333 + 5,334 + … + 5,355 1,889 + 1,890 + … + 1,952 653 + 654 + … + 819
Aliquot sequence: 122,912 131,104 143,324 107,500 133,048 116,432 121,648 114,076 99,284 74,470 71,978 47,902 25,754 13,606 6,806 3,778 1,892 — unresolved within range

Continued fraction of √n

√122,912 = [350; (1, 1, 2, 2, 1, 21, 4, 1, 6, 175, 6, 1, 4, 21, 1, 2, 2, 1, 1, 700)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand nine hundred twelve
Ordinal
122912th
Binary
11110000000100000
Octal
360040
Hexadecimal
0x1E020
Base64
AeAg
One's complement
4,294,844,383 (32-bit)
Scientific notation
1.22912 × 10⁵
As a duration
122,912 s = 1 day, 10 hours, 8 minutes, 32 seconds
In other bases
ternary (3) 20020121022
quaternary (4) 132000200
quinary (5) 12413122
senary (6) 2345012
septenary (7) 1021226
nonary (9) 206538
undecimal (11) 84389
duodecimal (12) 5b168
tridecimal (13) 43c3a
tetradecimal (14) 32b16
pentadecimal (15) 26642

As an angle

122,912° = 341 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρκβϡιβʹ
Mayan (base 20)
𝋯·𝋧·𝋥·𝋬
Chinese
一十二萬二千九百一十二
Chinese (financial)
壹拾貳萬貳仟玖佰壹拾貳
In other modern scripts
Eastern Arabic ١٢٢٩١٢ Devanagari १२२९१२ Bengali ১২২৯১২ Tamil ௧௨௨௯௧௨ Thai ๑๒๒๙๑๒ Tibetan ༡༢༢༩༡༢ Khmer ១២២៩១២ Lao ໑໒໒໙໑໒ Burmese ၁၂၂၉၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122912, here are decompositions:

  • 43 + 122869 = 122912
  • 73 + 122839 = 122912
  • 79 + 122833 = 122912
  • 151 + 122761 = 122912
  • 193 + 122719 = 122912
  • 211 + 122701 = 122912
  • 313 + 122599 = 122912
  • 379 + 122533 = 122912

Showing the first eight; more decompositions exist.

Unicode codepoint
𞀠
Combining Glagolitic Letter Yeri
U+1E020
Non-spacing mark (Mn)

UTF-8 encoding: F0 9E 80 A0 (4 bytes).

Hex color
#01E020
RGB(1, 224, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.224.32.

Address
0.1.224.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.224.32

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 122,912 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 122912 first appears in π at position 415,013 of the decimal expansion (the 415,013ordinal-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

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