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121,268

121,268 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.).

121,268 (one hundred twenty-one thousand two hundred sixty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 61 × 71. Its proper divisors sum to 128,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D9B4.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
192
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
862,121
Square (n²)
14,705,927,824
Cube (n³)
1,783,358,455,360,832
Divisor count
24
σ(n) — sum of divisors
249,984
φ(n) — Euler's totient
50,400
Sum of prime factors
143

Primality

Prime factorization: 2 2 × 7 × 61 × 71

Nearest primes: 121,267 (−1) · 121,271 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 61 · 71 · 122 · 142 · 244 · 284 · 427 · 497 · 854 · 994 · 1708 · 1988 · 4331 · 8662 · 17324 · 30317 · 60634 (half) · 121268
Aliquot sum (sum of proper divisors): 128,716
Factor pairs (a × b = 121,268)
1 × 121268
2 × 60634
4 × 30317
7 × 17324
14 × 8662
28 × 4331
61 × 1988
71 × 1708
122 × 994
142 × 854
244 × 497
284 × 427
First multiples
121,268 · 242,536 (double) · 363,804 · 485,072 · 606,340 · 727,608 · 848,876 · 970,144 · 1,091,412 · 1,212,680

Sums & aliquot sequence

As consecutive integers: 17,321 + 17,322 + … + 17,327 15,155 + 15,156 + … + 15,162 2,138 + 2,139 + … + 2,193 1,958 + 1,959 + … + 2,018
Aliquot sequence: 121,268 128,716 128,772 255,066 328,038 328,050 587,163 272,517 165,243 85,637 2,983 177 63 41 1 0 — terminates at zero

Continued fraction of √n

√121,268 = [348; (4, 4, 13, 6, 3, 5, 2, 3, 1, 1, 1, 42, 1, 8, 14, 1, 2, 2, 2, 2, 2, 1, 14, 8, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand two hundred sixty-eight
Ordinal
121268th
Binary
11101100110110100
Octal
354664
Hexadecimal
0x1D9B4
Base64
Adm0
One's complement
4,294,846,027 (32-bit)
Scientific notation
1.21268 × 10⁵
As a duration
121,268 s = 1 day, 9 hours, 41 minutes, 8 seconds
In other bases
ternary (3) 20011100102
quaternary (4) 131212310
quinary (5) 12340033
senary (6) 2333232
septenary (7) 1013360
nonary (9) 204312
undecimal (11) 83124
duodecimal (12) 5a218
tridecimal (13) 43274
tetradecimal (14) 322a0
pentadecimal (15) 25de8

As an angle

121,268° = 336 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκασξηʹ
Mayan (base 20)
𝋯·𝋣·𝋣·𝋨
Chinese
一十二萬一千二百六十八
Chinese (financial)
壹拾貳萬壹仟貳佰陸拾捌
In other modern scripts
Eastern Arabic ١٢١٢٦٨ Devanagari १२१२६८ Bengali ১২১২৬৮ Tamil ௧௨௧௨௬௮ Thai ๑๒๑๒๖๘ Tibetan ༡༢༡༢༦༨ Khmer ១២១២៦៨ Lao ໑໒໑໒໖໘ Burmese ၁၂၁၂၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121268, here are decompositions:

  • 79 + 121189 = 121268
  • 97 + 121171 = 121268
  • 229 + 121039 = 121268
  • 271 + 120997 = 121268
  • 331 + 120937 = 121268
  • 349 + 120919 = 121268
  • 379 + 120889 = 121268
  • 397 + 120871 = 121268

Showing the first eight; more decompositions exist.

Unicode codepoint
𝦴
Signwriting Movement-Wallplane Wave Diagonal Path Small
U+1D9B4
Other symbol (So)

UTF-8 encoding: F0 9D A6 B4 (4 bytes).

Hex color
#01D9B4
RGB(1, 217, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.180.

Address
0.1.217.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.180

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 121,268 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.