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120,612

120,612 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.).

120,612 (one hundred twenty thousand six hundred twelve) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 19 × 23². Its proper divisors sum to 189,068, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D724.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
216,021
Square (n²)
14,547,254,544
Cube (n³)
1,754,573,465,060,928
Divisor count
36
σ(n) — sum of divisors
309,680
φ(n) — Euler's totient
36,432
Sum of prime factors
72

Primality

Prime factorization: 2 2 × 3 × 19 × 23 2

Nearest primes: 120,607 (−5) · 120,619 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 12 · 19 · 23 · 38 · 46 · 57 · 69 · 76 · 92 · 114 · 138 · 228 · 276 · 437 · 529 · 874 · 1058 · 1311 · 1587 · 1748 · 2116 · 2622 · 3174 · 5244 · 6348 · 10051 · 20102 · 30153 · 40204 · 60306 (half) · 120612
Aliquot sum (sum of proper divisors): 189,068
Factor pairs (a × b = 120,612)
1 × 120612
2 × 60306
3 × 40204
4 × 30153
6 × 20102
12 × 10051
19 × 6348
23 × 5244
38 × 3174
46 × 2622
57 × 2116
69 × 1748
76 × 1587
92 × 1311
114 × 1058
138 × 874
228 × 529
276 × 437
First multiples
120,612 · 241,224 (double) · 361,836 · 482,448 · 603,060 · 723,672 · 844,284 · 964,896 · 1,085,508 · 1,206,120

Sums & aliquot sequence

As consecutive integers: 40,203 + 40,204 + 40,205 15,073 + 15,074 + … + 15,080 6,339 + 6,340 + … + 6,357 5,233 + 5,234 + … + 5,255
Aliquot sequence: 120,612 189,068 171,964 152,220 291,300 552,396 836,068 635,864 576,856 659,384 723,016 826,424 804,976 754,696 709,604 709,660 1,052,324 — unresolved within range

Continued fraction of √n

√120,612 = [347; (3, 2, 2, 1, 1, 1, 2, 2, 7, 1, 5, 1, 1, 1, 1, 3, 3, 6, 1, 13, 3, 4, 1, 8, …)]

Representations

In words
one hundred twenty thousand six hundred twelve
Ordinal
120612th
Binary
11101011100100100
Octal
353444
Hexadecimal
0x1D724
Base64
Adck
One's complement
4,294,846,683 (32-bit)
Scientific notation
1.20612 × 10⁵
As a duration
120,612 s = 1 day, 9 hours, 30 minutes, 12 seconds
In other bases
ternary (3) 20010110010
quaternary (4) 131130210
quinary (5) 12324422
senary (6) 2330220
septenary (7) 1011432
nonary (9) 203403
undecimal (11) 82688
duodecimal (12) 59970
tridecimal (13) 42b8b
tetradecimal (14) 31d52
pentadecimal (15) 25b0c

As an angle

120,612° = 335 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρκχιβʹ
Mayan (base 20)
𝋯·𝋡·𝋪·𝋬
Chinese
一十二萬零六百一十二
Chinese (financial)
壹拾貳萬零陸佰壹拾貳
In other modern scripts
Eastern Arabic ١٢٠٦١٢ Devanagari १२०६१२ Bengali ১২০৬১২ Tamil ௧௨௦௬௧௨ Thai ๑๒๐๖๑๒ Tibetan ༡༢༠༦༡༢ Khmer ១២០៦១២ Lao ໑໒໐໖໑໒ Burmese ၁၂၀၆၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120612, here are decompositions:

  • 5 + 120607 = 120612
  • 43 + 120569 = 120612
  • 61 + 120551 = 120612
  • 73 + 120539 = 120612
  • 101 + 120511 = 120612
  • 109 + 120503 = 120612
  • 139 + 120473 = 120612
  • 181 + 120431 = 120612

Showing the first eight; more decompositions exist.

Unicode codepoint
𝜤
Mathematical Bold Italic Capital Iota
U+1D724
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 9C A4 (4 bytes).

Hex color
#01D724
RGB(1, 215, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.36.

Address
0.1.215.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.36

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 120,612 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.