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120,512

120,512 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.).

120,512 (one hundred twenty thousand five hundred twelve) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 269. Its proper divisors sum to 153,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D6C0.

Abundant Number Evil Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
215,021
Square (n²)
14,523,142,144
Cube (n³)
1,750,212,906,057,728
Divisor count
28
σ(n) — sum of divisors
274,320
φ(n) — Euler's totient
51,456
Sum of prime factors
288

Primality

Prime factorization: 2 6 × 7 × 269

Nearest primes: 120,511 (−1) · 120,539 (+27)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 224 · 269 · 448 · 538 · 1076 · 1883 · 2152 · 3766 · 4304 · 7532 · 8608 · 15064 · 17216 · 30128 · 60256 (half) · 120512
Aliquot sum (sum of proper divisors): 153,808
Factor pairs (a × b = 120,512)
1 × 120512
2 × 60256
4 × 30128
7 × 17216
8 × 15064
14 × 8608
16 × 7532
28 × 4304
32 × 3766
56 × 2152
64 × 1883
112 × 1076
224 × 538
269 × 448
First multiples
120,512 · 241,024 (double) · 361,536 · 482,048 · 602,560 · 723,072 · 843,584 · 964,096 · 1,084,608 · 1,205,120

Sums & aliquot sequence

As consecutive integers: 17,213 + 17,214 + … + 17,219 878 + 879 + … + 1,005 314 + 315 + … + 582
Aliquot sequence: 120,512 153,808 144,226 78,074 40,486 22,298 11,152 12,284 10,060 11,108 8,338 5,342 2,674 1,934 970 794 400 — unresolved within range

Continued fraction of √n

√120,512 = [347; (6, 1, 2, 1, 5, 10, 1, 2, 14, 2, 3, 173, 3, 2, 14, 2, 1, 10, 5, 1, 2, 1, 6, 694)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand five hundred twelve
Ordinal
120512th
Binary
11101011011000000
Octal
353300
Hexadecimal
0x1D6C0
Base64
AdbA
One's complement
4,294,846,783 (32-bit)
Scientific notation
1.20512 × 10⁵
As a duration
120,512 s = 1 day, 9 hours, 28 minutes, 32 seconds
In other bases
ternary (3) 20010022102
quaternary (4) 131123000
quinary (5) 12324022
senary (6) 2325532
septenary (7) 1011230
nonary (9) 203272
undecimal (11) 825a7
duodecimal (12) 598a8
tridecimal (13) 42b12
tetradecimal (14) 31cc0
pentadecimal (15) 25a92

As an angle

120,512° = 334 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρκφιβʹ
Mayan (base 20)
𝋯·𝋡·𝋥·𝋬
Chinese
一十二萬零五百一十二
Chinese (financial)
壹拾貳萬零伍佰壹拾貳
In other modern scripts
Eastern Arabic ١٢٠٥١٢ Devanagari १२०५१२ Bengali ১২০৫১২ Tamil ௧௨௦௫௧௨ Thai ๑๒๐๕๑๒ Tibetan ༡༢༠༥༡༢ Khmer ១២០៥១២ Lao ໑໒໐໕໑໒ Burmese ၁၂၀၅၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120512, here are decompositions:

  • 163 + 120349 = 120512
  • 181 + 120331 = 120512
  • 193 + 120319 = 120512
  • 229 + 120283 = 120512
  • 313 + 120199 = 120512
  • 331 + 120181 = 120512
  • 349 + 120163 = 120512
  • 409 + 120103 = 120512

Showing the first eight; more decompositions exist.

Unicode codepoint
𝛀
Mathematical Bold Capital Omega
U+1D6C0
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 9B 80 (4 bytes).

Hex color
#01D6C0
RGB(1, 214, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.192.

Address
0.1.214.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.192

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 120,512 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 120512 first appears in π at position 21,904 of the decimal expansion (the 21,904ordinal-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.