Live analysis

120,012

120,012 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.).

120,012 (one hundred twenty thousand twelve) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 73 × 137. Its proper divisors sum to 165,924, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4CC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

120,000 120,001 120,002 120,003 120,004 120,005 120,006 120,007 120,008 120,009 120,010 120,011 120,012 120,013 120,014 120,015 120,016 120,017 120,018 120,019 120,020 120,021 120,022 120,023 120,024

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 210,021
Recamán's sequence: a(240,072) = 120,012
Square (n²): 14,402,880,144
Cube (n³): 1,728,518,451,841,728
Divisor count: 24
σ(n) — sum of divisors: 285,936
φ(n) — Euler's totient: 39,168
Sum of prime factors: 217

Primality

Prime factorization: 2 ² × 3 × 73 × 137

Nearest primes: 120,011 (−1) · 120,017 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 73 · 137 · 146 · 219 · 274 · 292 · 411 · 438 · 548 · 822 · 876 · 1644 · 10001 · 20002 · 30003 · 40004 · 60006 (half) · 120012

Aliquot sum (sum of proper divisors): 165,924

Factor pairs (a × b = 120,012)

1 × 120012

2 × 60006

3 × 40004

4 × 30003

6 × 20002

12 × 10001

73 × 1644

137 × 876

146 × 822

219 × 548

274 × 438

292 × 411

First multiples

120,012 · 240,024 (double) · 360,036 · 480,048 · 600,060 · 720,072 · 840,084 · 960,096 · 1,080,108 · 1,200,120

Sums & aliquot sequence

As consecutive integers: 40,003 + 40,004 + 40,005 14,998 + 14,999 + … + 15,005 4,989 + 4,990 + … + 5,012 1,608 + 1,609 + … + 1,680

Aliquot sequence: 120,012 → 165,924 → 292,716 → 467,316 → 744,524 → 676,924 → 514,476 → 830,868 → 1,107,852 → 1,701,108 → 2,946,892 → 2,606,964 → 3,592,236 → 5,283,204 → 7,202,556 → 11,634,444 → 17,901,972 — unresolved within range

Continued fraction of √n

√120,012 = [346; (2, 2, 1, 18, 86, 1, 1, 4, 5, 1, 1, 1, 1, 172, 1, 1, 1, 1, 5, 4, 1, 1, 86, 18, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand twelve
Ordinal: 120012th
Binary: 11101010011001100
Octal: 352314
Hexadecimal: 0x1D4CC
Base64: AdTM
One's complement: 4,294,847,283 (32-bit)
Scientific notation: 1.20012 × 10⁵
As a duration: 120,012 s = 1 day, 9 hours, 20 minutes, 12 seconds

In other bases

ternary (3) 20002121220

quaternary (4) 131103030

quinary (5) 12320022

senary (6) 2323340

septenary (7) 1006614

nonary (9) 202556

undecimal (11) 82192

duodecimal (12) 59550

tridecimal (13) 42819

tetradecimal (14) 31a44

pentadecimal (15) 2585c

As an angle

120,012° = 333 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓎆𓏺𓏺
Greek (Milesian): ͵ρκιβʹ
Mayan (base 20): 𝋯·𝋠·𝋠·𝋬
Chinese: 一十二萬零一十二
Chinese (financial): 壹拾貳萬零壹拾貳

In other modern scripts

Eastern Arabic ١٢٠٠١٢ Devanagari १२००१२ Bengali ১২০০১২ Tamil ௧௨௦௦௧௨ Thai ๑๒๐๐๑๒ Tibetan ༡༢༠༠༡༢ Khmer ១២០០១២ Lao ໑໒໐໐໑໒ Burmese ၁၂၀၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120012, here are decompositions:

19 + 119993 = 120012
29 + 119983 = 120012
31 + 119981 = 120012
41 + 119971 = 120012
59 + 119953 = 120012
83 + 119929 = 120012
89 + 119923 = 120012
131 + 119881 = 120012

Showing the first eight; more decompositions exist.

Unicode codepoint

𝓌

Mathematical Script Small W

U+1D4CC

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 93 8C (4 bytes).

Lookup U+1D4CC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D4CC

RGB(1, 212, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.204.

Address: 0.1.212.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.212.204

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 120,012 and was likely granted around 1871.

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

Look up US120,012 on Google Patents ↗ Look up on USPTO ↗