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121,888

121,888 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.).

121,888 (one hundred twenty-one thousand eight hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 13 × 293. Its proper divisors sum to 137,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DC20.

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
1,024
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
888,121
Square (n²)
14,856,684,544
Cube (n³)
1,810,851,565,699,072
Divisor count
24
σ(n) — sum of divisors
259,308
φ(n) — Euler's totient
56,064
Sum of prime factors
316

Primality

Prime factorization: 2 5 × 13 × 293

Nearest primes: 121,883 (−5) · 121,889 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 104 · 208 · 293 · 416 · 586 · 1172 · 2344 · 3809 · 4688 · 7618 · 9376 · 15236 · 30472 · 60944 (half) · 121888
Aliquot sum (sum of proper divisors): 137,420
Factor pairs (a × b = 121,888)
1 × 121888
2 × 60944
4 × 30472
8 × 15236
13 × 9376
16 × 7618
26 × 4688
32 × 3809
52 × 2344
104 × 1172
208 × 586
293 × 416
First multiples
121,888 · 243,776 (double) · 365,664 · 487,552 · 609,440 · 731,328 · 853,216 · 975,104 · 1,096,992 · 1,218,880

Sums & aliquot sequence

As a sum of two squares: 28² + 348² = 108² + 332²
As consecutive integers: 9,370 + 9,371 + … + 9,382 1,873 + 1,874 + … + 1,936 270 + 271 + … + 562
Aliquot sequence: 121,888 137,420 151,204 116,700 221,820 399,444 532,620 1,236,420 2,514,600 6,770,520 15,801,480 37,319,940 96,969,852 200,322,948 333,871,804 351,281,924 351,281,980 — unresolved within range

Continued fraction of √n

√121,888 = [349; (8, 40, 1, 18, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 4, 8, 2, 2, 4, 14, 43, 1, 1, 3, …)]

Representations

In words
one hundred twenty-one thousand eight hundred eighty-eight
Ordinal
121888th
Binary
11101110000100000
Octal
356040
Hexadecimal
0x1DC20
Base64
Adwg
One's complement
4,294,845,407 (32-bit)
Scientific notation
1.21888 × 10⁵
As a duration
121,888 s = 1 day, 9 hours, 51 minutes, 28 seconds
In other bases
ternary (3) 20012012101
quaternary (4) 131300200
quinary (5) 12400023
senary (6) 2340144
septenary (7) 1015234
nonary (9) 205171
undecimal (11) 83638
duodecimal (12) 5a654
tridecimal (13) 43630
tetradecimal (14) 325c4
pentadecimal (15) 261ad
Palindromic in base 11

As an angle

121,888° = 338 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαωπηʹ
Mayan (base 20)
𝋯·𝋤·𝋮·𝋨
Chinese
一十二萬一千八百八十八
Chinese (financial)
壹拾貳萬壹仟捌佰捌拾捌
In other modern scripts
Eastern Arabic ١٢١٨٨٨ Devanagari १२१८८८ Bengali ১২১৮৮৮ Tamil ௧௨௧௮௮௮ Thai ๑๒๑๘๘๘ Tibetan ༡༢༡༨༨༨ Khmer ១២១៨៨៨ Lao ໑໒໑໘໘໘ Burmese ၁၂၁၈၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121888, here are decompositions:

  • 5 + 121883 = 121888
  • 101 + 121787 = 121888
  • 167 + 121721 = 121888
  • 191 + 121697 = 121888
  • 227 + 121661 = 121888
  • 251 + 121637 = 121888
  • 257 + 121631 = 121888
  • 281 + 121607 = 121888

Showing the first eight; more decompositions exist.

Hex color
#01DC20
RGB(1, 220, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.32.

Address
0.1.220.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.32

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 121,888 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