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121,008

121,008 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.).

121,008 (one hundred twenty-one thousand eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,521. Its proper divisors sum to 191,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D8B0.

Abundant Number Evil 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
800,121
Square (n²)
14,642,936,064
Cube (n³)
1,771,912,407,232,512
Divisor count
20
σ(n) — sum of divisors
312,728
φ(n) — Euler's totient
40,320
Sum of prime factors
2,532

Primality

Prime factorization: 2 4 × 3 × 2521

Nearest primes: 121,007 (−1) · 121,013 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2521 · 5042 · 7563 · 10084 · 15126 · 20168 · 30252 · 40336 · 60504 (half) · 121008
Aliquot sum (sum of proper divisors): 191,720
Factor pairs (a × b = 121,008)
1 × 121008
2 × 60504
3 × 40336
4 × 30252
6 × 20168
8 × 15126
12 × 10084
16 × 7563
24 × 5042
48 × 2521
First multiples
121,008 · 242,016 (double) · 363,024 · 484,032 · 605,040 · 726,048 · 847,056 · 968,064 · 1,089,072 · 1,210,080

Sums & aliquot sequence

As consecutive integers: 40,335 + 40,336 + 40,337 3,766 + 3,767 + … + 3,797 1,213 + 1,214 + … + 1,308
Aliquot sequence: 121,008 191,720 239,740 263,756 201,436 151,084 116,540 128,236 96,184 100,736 100,204 97,364 75,424 73,130 61,654 34,106 17,056 — unresolved within range

Continued fraction of √n

√121,008 = [347; (1, 6, 4, 43, 4, 6, 1, 694)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand eight
Ordinal
121008th
Binary
11101100010110000
Octal
354260
Hexadecimal
0x1D8B0
Base64
Adiw
One's complement
4,294,846,287 (32-bit)
Scientific notation
1.21008 × 10⁵
As a duration
121,008 s = 1 day, 9 hours, 36 minutes, 48 seconds
In other bases
ternary (3) 20010222210
quaternary (4) 131202300
quinary (5) 12333013
senary (6) 2332120
septenary (7) 1012536
nonary (9) 203883
undecimal (11) 82a08
duodecimal (12) 5a040
tridecimal (13) 43104
tetradecimal (14) 32156
pentadecimal (15) 25cc3

As an angle

121,008° = 336 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαηʹ
Mayan (base 20)
𝋯·𝋢·𝋪·𝋨
Chinese
一十二萬一千零八
Chinese (financial)
壹拾貳萬壹仟零捌
In other modern scripts
Eastern Arabic ١٢١٠٠٨ Devanagari १२१००८ Bengali ১২১০০৮ Tamil ௧௨௧௦௦௮ Thai ๑๒๑๐๐๘ Tibetan ༡༢༡༠༠༨ Khmer ១២១០០៨ Lao ໑໒໑໐໐໘ Burmese ၁၂၁၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121008, here are decompositions:

  • 7 + 121001 = 121008
  • 11 + 120997 = 121008
  • 31 + 120977 = 121008
  • 61 + 120947 = 121008
  • 67 + 120941 = 121008
  • 71 + 120937 = 121008
  • 79 + 120929 = 121008
  • 89 + 120919 = 121008

Showing the first eight; more decompositions exist.

Unicode codepoint
𝢰
Signwriting Hand-Fist Ring Little
U+1D8B0
Other symbol (So)

UTF-8 encoding: F0 9D A2 B0 (4 bytes).

Hex color
#01D8B0
RGB(1, 216, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.176.

Address
0.1.216.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.176

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 121,008 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 121008 first appears in π at position 565,693 of the decimal expansion (the 565,693ordinal-suffix:rd 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

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