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121,488

121,488 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.).

121,488 (one hundred twenty-one thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,531. Its proper divisors sum to 192,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA90.

Abundant Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
512
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
884,121
Square (n²)
14,759,334,144
Cube (n³)
1,793,081,986,486,272
Divisor count
20
σ(n) — sum of divisors
313,968
φ(n) — Euler's totient
40,480
Sum of prime factors
2,542

Primality

Prime factorization: 2 4 × 3 × 2531

Nearest primes: 121,487 (−1) · 121,493 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 2531 · 5062 · 7593 · 10124 · 15186 · 20248 · 30372 · 40496 · 60744 (half) · 121488
Aliquot sum (sum of proper divisors): 192,480
Factor pairs (a × b = 121,488)
1 × 121488
2 × 60744
3 × 40496
4 × 30372
6 × 20248
8 × 15186
12 × 10124
16 × 7593
24 × 5062
48 × 2531
First multiples
121,488 · 242,976 (double) · 364,464 · 485,952 · 607,440 · 728,928 · 850,416 · 971,904 · 1,093,392 · 1,214,880

Sums & aliquot sequence

As consecutive integers: 40,495 + 40,496 + 40,497 3,781 + 3,782 + … + 3,812 1,218 + 1,219 + … + 1,313
Aliquot sequence: 121,488 192,480 415,344 722,976 1,291,008 2,230,804 1,778,880 4,256,160 9,152,256 16,675,728 26,403,360 58,111,392 95,356,608 162,333,504 327,988,096 353,841,104 371,558,896 — unresolved within range

Continued fraction of √n

√121,488 = [348; (1, 1, 4, 2, 1, 2, 29, 1, 14, 1, 7, 13, 3, 1, 1, 2, 1, 8, 1, 4, 1, 6, 2, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand four hundred eighty-eight
Ordinal
121488th
Binary
11101101010010000
Octal
355220
Hexadecimal
0x1DA90
Base64
AdqQ
One's complement
4,294,845,807 (32-bit)
Scientific notation
1.21488 × 10⁵
As a duration
121,488 s = 1 day, 9 hours, 44 minutes, 48 seconds
In other bases
ternary (3) 20011122120
quaternary (4) 131222100
quinary (5) 12341423
senary (6) 2334240
septenary (7) 1014123
nonary (9) 204576
undecimal (11) 83304
duodecimal (12) 5a380
tridecimal (13) 433b3
tetradecimal (14) 323ba
pentadecimal (15) 25ee3

As an angle

121,488° = 337 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαυπηʹ
Mayan (base 20)
𝋯·𝋣·𝋮·𝋨
Chinese
一十二萬一千四百八十八
Chinese (financial)
壹拾貳萬壹仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ١٢١٤٨٨ Devanagari १२१४८८ Bengali ১২১৪৮৮ Tamil ௧௨௧௪௮௮ Thai ๑๒๑๔๘๘ Tibetan ༡༢༡༤༨༨ Khmer ១២១៤៨៨ Lao ໑໒໑໔໘໘ Burmese ၁၂၁၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121488, here are decompositions:

  • 19 + 121469 = 121488
  • 41 + 121447 = 121488
  • 47 + 121441 = 121488
  • 67 + 121421 = 121488
  • 109 + 121379 = 121488
  • 131 + 121357 = 121488
  • 137 + 121351 = 121488
  • 139 + 121349 = 121488

Showing the first eight; more decompositions exist.

Hex color
#01DA90
RGB(1, 218, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.144.

Address
0.1.218.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.144

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 121,488 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°.