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122,124

122,124 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.).

122,124 (one hundred twenty-two thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 10,177. Its proper divisors sum to 162,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD0C.

Abundant Number Cube-Free Harshad / Niven Moran Number Odious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
32
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
421,221
Square (n²)
14,914,271,376
Cube (n³)
1,821,390,477,522,624
Divisor count
12
σ(n) — sum of divisors
284,984
φ(n) — Euler's totient
40,704
Sum of prime factors
10,184

Primality

Prime factorization: 2 2 × 3 × 10177

Nearest primes: 122,117 (−7) · 122,131 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 10177 · 20354 · 30531 · 40708 · 61062 (half) · 122124
Aliquot sum (sum of proper divisors): 162,860
Factor pairs (a × b = 122,124)
1 × 122124
2 × 61062
3 × 40708
4 × 30531
6 × 20354
12 × 10177
First multiples
122,124 · 244,248 (double) · 366,372 · 488,496 · 610,620 · 732,744 · 854,868 · 976,992 · 1,099,116 · 1,221,240

Sums & aliquot sequence

As consecutive integers: 40,707 + 40,708 + 40,709 15,262 + 15,263 + … + 15,269 5,077 + 5,078 + … + 5,100
Aliquot sequence: 122,124 162,860 200,020 228,884 171,670 137,354 98,134 50,546 26,254 13,130 12,574 6,290 6,022 3,014 1,954 980 1,414 — unresolved within range

Continued fraction of √n

√122,124 = [349; (2, 6, 6, 2, 1, 1, 1, 4, 3, 28, 1, 4, 3, 2, 5, 2, 3, 1, 2, 1, 2, 174, 2, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand one hundred twenty-four
Ordinal
122124th
Binary
11101110100001100
Octal
356414
Hexadecimal
0x1DD0C
Base64
Ad0M
One's complement
4,294,845,171 (32-bit)
Scientific notation
1.22124 × 10⁵
As a duration
122,124 s = 1 day, 9 hours, 55 minutes, 24 seconds
In other bases
ternary (3) 20012112010
quaternary (4) 131310030
quinary (5) 12401444
senary (6) 2341220
septenary (7) 1016022
nonary (9) 205463
undecimal (11) 83832
duodecimal (12) 5a810
tridecimal (13) 43782
tetradecimal (14) 32712
pentadecimal (15) 262b9

As an angle

122,124° = 339 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβρκδʹ
Mayan (base 20)
𝋯·𝋥·𝋦·𝋤
Chinese
一十二萬二千一百二十四
Chinese (financial)
壹拾貳萬貳仟壹佰貳拾肆
In other modern scripts
Eastern Arabic ١٢٢١٢٤ Devanagari १२२१२४ Bengali ১২২১২৪ Tamil ௧௨௨௧௨௪ Thai ๑๒๒๑๒๔ Tibetan ༡༢༢༡༢༤ Khmer ១២២១២៤ Lao ໑໒໒໑໒໔ Burmese ၁၂၂၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122124, here are decompositions:

  • 7 + 122117 = 122124
  • 43 + 122081 = 122124
  • 71 + 122053 = 122124
  • 73 + 122051 = 122124
  • 83 + 122041 = 122124
  • 97 + 122027 = 122124
  • 103 + 122021 = 122124
  • 113 + 122011 = 122124

Showing the first eight; more decompositions exist.

Hex color
#01DD0C
RGB(1, 221, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.12.

Address
0.1.221.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.12

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 122,124 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 122124 first appears in π at position 893,899 of the decimal expansion (the 893,899ordinal-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°.