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122,096

122,096 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.).

122,096 (one hundred twenty-two thousand ninety-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 587. Its proper divisors sum to 133,096, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DCF0.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
690,221
Square (n²)
14,907,433,216
Cube (n³)
1,820,137,965,940,736
Divisor count
20
σ(n) — sum of divisors
255,192
φ(n) — Euler's totient
56,256
Sum of prime factors
608

Primality

Prime factorization: 2 4 × 13 × 587

Nearest primes: 122,081 (−15) · 122,099 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 587 · 1174 · 2348 · 4696 · 7631 · 9392 · 15262 · 30524 · 61048 (half) · 122096
Aliquot sum (sum of proper divisors): 133,096
Factor pairs (a × b = 122,096)
1 × 122096
2 × 61048
4 × 30524
8 × 15262
13 × 9392
16 × 7631
26 × 4696
52 × 2348
104 × 1174
208 × 587
First multiples
122,096 · 244,192 (double) · 366,288 · 488,384 · 610,480 · 732,576 · 854,672 · 976,768 · 1,098,864 · 1,220,960

Sums & aliquot sequence

As consecutive integers: 9,386 + 9,387 + … + 9,398 3,800 + 3,801 + … + 3,831 86 + 87 + … + 501
Aliquot sequence: 122,096 133,096 120,344 142,996 143,052 270,900 722,092 886,676 886,732 1,048,628 1,173,004 1,173,060 3,194,940 7,030,212 11,893,308 19,822,404 33,263,804 — unresolved within range

Continued fraction of √n

√122,096 = [349; (2, 2, 1, 2, 1, 1, 2, 1, 1, 5, 2, 3, 1, 9, 1, 40, 4, 1, 29, 1, 1, 2, 2, 27, …)]

Representations

In words
one hundred twenty-two thousand ninety-six
Ordinal
122096th
Binary
11101110011110000
Octal
356360
Hexadecimal
0x1DCF0
Base64
Adzw
One's complement
4,294,845,199 (32-bit)
Scientific notation
1.22096 × 10⁵
As a duration
122,096 s = 1 day, 9 hours, 54 minutes, 56 seconds
In other bases
ternary (3) 20012111002
quaternary (4) 131303300
quinary (5) 12401341
senary (6) 2341132
septenary (7) 1015652
nonary (9) 205432
undecimal (11) 83807
duodecimal (12) 5a7a8
tridecimal (13) 43760
tetradecimal (14) 326d2
pentadecimal (15) 2629b

As an angle

122,096° = 339 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβϟϛʹ
Mayan (base 20)
𝋯·𝋥·𝋤·𝋰
Chinese
一十二萬二千零九十六
Chinese (financial)
壹拾貳萬貳仟零玖拾陸
In other modern scripts
Eastern Arabic ١٢٢٠٩٦ Devanagari १२२०९६ Bengali ১২২০৯৬ Tamil ௧௨௨௦௯௬ Thai ๑๒๒๐๙๖ Tibetan ༡༢༢༠༩༦ Khmer ១២២០៩៦ Lao ໑໒໒໐໙໖ Burmese ၁၂၂၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122096, here are decompositions:

  • 43 + 122053 = 122096
  • 67 + 122029 = 122096
  • 103 + 121993 = 122096
  • 229 + 121867 = 122096
  • 307 + 121789 = 122096
  • 409 + 121687 = 122096
  • 463 + 121633 = 122096
  • 487 + 121609 = 122096

Showing the first eight; more decompositions exist.

Hex color
#01DCF0
RGB(1, 220, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.240.

Address
0.1.220.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.240

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 122,096 and was likely granted around 1871.

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

Related reading

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