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125,120

125,120 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.).

125,120 (one hundred twenty-five thousand one hundred twenty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 17 × 23. Its proper divisors sum to 204,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E8C0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence 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
21,521
Recamán's sequence
a(235,924) = 125,120
Square (n²)
15,655,014,400
Cube (n³)
1,958,755,401,728,000
Divisor count
56
σ(n) — sum of divisors
329,184
φ(n) — Euler's totient
45,056
Sum of prime factors
57

Primality

Prime factorization: 2 6 × 5 × 17 × 23

Nearest primes: 125,119 (−1) · 125,131 (+11)

Divisors & multiples

All divisors (56)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 23 · 32 · 34 · 40 · 46 · 64 · 68 · 80 · 85 · 92 · 115 · 136 · 160 · 170 · 184 · 230 · 272 · 320 · 340 · 368 · 391 · 460 · 544 · 680 · 736 · 782 · 920 · 1088 · 1360 · 1472 · 1564 · 1840 · 1955 · 2720 · 3128 · 3680 · 3910 · 5440 · 6256 · 7360 · 7820 · 12512 · 15640 · 25024 · 31280 · 62560 (half) · 125120
Aliquot sum (sum of proper divisors): 204,064
Factor pairs (a × b = 125,120)
1 × 125120
2 × 62560
4 × 31280
5 × 25024
8 × 15640
10 × 12512
16 × 7820
17 × 7360
20 × 6256
23 × 5440
32 × 3910
34 × 3680
40 × 3128
46 × 2720
64 × 1955
68 × 1840
80 × 1564
85 × 1472
92 × 1360
115 × 1088
136 × 920
160 × 782
170 × 736
184 × 680
230 × 544
272 × 460
320 × 391
340 × 368
First multiples
125,120 · 250,240 (double) · 375,360 · 500,480 · 625,600 · 750,720 · 875,840 · 1,000,960 · 1,126,080 · 1,251,200

Sums & aliquot sequence

As consecutive integers: 25,022 + 25,023 + 25,024 + 25,025 + 25,026 7,352 + 7,353 + … + 7,368 5,429 + 5,430 + … + 5,451 1,430 + 1,431 + … + 1,514
Aliquot sequence: 125,120 204,064 255,584 333,340 467,012 539,644 539,700 1,251,852 2,147,628 3,742,676 3,783,724 4,229,876 4,405,324 5,206,964 5,820,556 5,820,612 10,841,628 — unresolved within range

Continued fraction of √n

√125,120 = [353; (1, 2, 1, 1, 1, 1, 3, 10, 1, 3, 2, 13, 1, 175, 1, 13, 2, 3, 1, 10, 3, 1, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-five thousand one hundred twenty
Ordinal
125120th
Binary
11110100011000000
Octal
364300
Hexadecimal
0x1E8C0
Base64
AejA
One's complement
4,294,842,175 (32-bit)
Scientific notation
1.2512 × 10⁵
As a duration
125,120 s = 1 day, 10 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 20100122002
quaternary (4) 132203000
quinary (5) 13000440
senary (6) 2403132
septenary (7) 1030532
nonary (9) 210562
undecimal (11) 86006
duodecimal (12) 604a8
tridecimal (13) 44c48
tetradecimal (14) 33852
pentadecimal (15) 27115

As an angle

125,120° = 347 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρκερκʹ
Mayan (base 20)
𝋯·𝋬·𝋰·𝋠
Chinese
一十二萬五千一百二十
Chinese (financial)
壹拾貳萬伍仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٢٥١٢٠ Devanagari १२५१२० Bengali ১২৫১২০ Tamil ௧௨௫௧௨௦ Thai ๑๒๕๑๒๐ Tibetan ༡༢༥༡༢༠ Khmer ១២៥១២០ Lao ໑໒໕໑໒໐ Burmese ၁၂၅၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125120, here are decompositions:

  • 3 + 125117 = 125120
  • 7 + 125113 = 125120
  • 13 + 125107 = 125120
  • 19 + 125101 = 125120
  • 67 + 125053 = 125120
  • 103 + 125017 = 125120
  • 139 + 124981 = 125120
  • 211 + 124909 = 125120

Showing the first eight; more decompositions exist.

Unicode codepoint
𞣀
Mende Kikakui Syllable M164 Nyin
U+1E8C0
Other letter (Lo)

UTF-8 encoding: F0 9E A3 80 (4 bytes).

Hex color
#01E8C0
RGB(1, 232, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.232.192.

Address
0.1.232.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.232.192

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 125,120 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 125120 first appears in π at position 217,142 of the decimal expansion (the 217,142ordinal-suffix:nd 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.