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121,080

121,080 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.).

121,080 (one hundred twenty-one thousand eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,009. Its proper divisors sum to 242,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D8F8.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven 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
80,121
Square (n²)
14,660,366,400
Cube (n³)
1,775,077,163,712,000
Divisor count
32
σ(n) — sum of divisors
363,600
φ(n) — Euler's totient
32,256
Sum of prime factors
1,023

Primality

Prime factorization: 2 3 × 3 × 5 × 1009

Nearest primes: 121,067 (−13) · 121,081 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 1009 · 2018 · 3027 · 4036 · 5045 · 6054 · 8072 · 10090 · 12108 · 15135 · 20180 · 24216 · 30270 · 40360 · 60540 (half) · 121080
Aliquot sum (sum of proper divisors): 242,520
Factor pairs (a × b = 121,080)
1 × 121080
2 × 60540
3 × 40360
4 × 30270
5 × 24216
6 × 20180
8 × 15135
10 × 12108
12 × 10090
15 × 8072
20 × 6054
24 × 5045
30 × 4036
40 × 3027
60 × 2018
120 × 1009
First multiples
121,080 · 242,160 (double) · 363,240 · 484,320 · 605,400 · 726,480 · 847,560 · 968,640 · 1,089,720 · 1,210,800

Sums & aliquot sequence

As consecutive integers: 40,359 + 40,360 + 40,361 24,214 + 24,215 + 24,216 + 24,217 + 24,218 8,065 + 8,066 + … + 8,079 7,560 + 7,561 + … + 7,575
Aliquot sequence: 121,080 242,520 517,800 1,089,240 2,301,960 4,604,280 10,662,600 24,960,120 49,920,600 119,711,400 270,963,000 990,615,240 2,330,462,520 5,251,699,080 11,816,324,100 — keeps growing

Continued fraction of √n

√121,080 = [347; (1, 27, 1, 694)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand eighty
Ordinal
121080th
Binary
11101100011111000
Octal
354370
Hexadecimal
0x1D8F8
Base64
Adj4
One's complement
4,294,846,215 (32-bit)
Scientific notation
1.2108 × 10⁵
As a duration
121,080 s = 1 day, 9 hours, 38 minutes
In other bases
ternary (3) 20011002110
quaternary (4) 131203320
quinary (5) 12333310
senary (6) 2332320
septenary (7) 1013001
nonary (9) 204073
undecimal (11) 82a73
duodecimal (12) 5a0a0
tridecimal (13) 4315b
tetradecimal (14) 321a8
pentadecimal (15) 25d20

As an angle

121,080° = 336 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκαπʹ
Mayan (base 20)
𝋯·𝋢·𝋮·𝋠
Chinese
一十二萬一千零八十
Chinese (financial)
壹拾貳萬壹仟零捌拾
In other modern scripts
Eastern Arabic ١٢١٠٨٠ Devanagari १२१०८० Bengali ১২১০৮০ Tamil ௧௨௧௦௮௦ Thai ๑๒๑๐๘๐ Tibetan ༡༢༡༠༨༠ Khmer ១២១០៨០ Lao ໑໒໑໐໘໐ Burmese ၁၂၁၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121080, here are decompositions:

  • 13 + 121067 = 121080
  • 17 + 121063 = 121080
  • 19 + 121061 = 121080
  • 41 + 121039 = 121080
  • 59 + 121021 = 121080
  • 61 + 121019 = 121080
  • 67 + 121013 = 121080
  • 73 + 121007 = 121080

Showing the first eight; more decompositions exist.

Unicode codepoint
𝣸
Signwriting Hand-Fist Thumb Side Conjoined
U+1D8F8
Other symbol (So)

UTF-8 encoding: F0 9D A3 B8 (4 bytes).

Hex color
#01D8F8
RGB(1, 216, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.248.

Address
0.1.216.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.248

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 121,080 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°.