Live analysis

121,988

121,988 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.).

121,988 (one hundred twenty-one thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 30,497. Written other ways, in hexadecimal, 0x1DC84.

Arithmetic Number Cube-Free Deficient Number Evil Number Self Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

121,976 121,977 121,978 121,979 121,980 121,981 121,982 121,983 121,984 121,985 121,986 121,987 121,988 121,989 121,990 121,991 121,992 121,993 121,994 121,995 121,996 121,997 121,998 121,999 122,000

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 29
Digit product: 1,152
Digital root: 2
Palindrome: No
Bit width: 17 bits
Reversed: 889,121
Square (n²): 14,881,072,144
Cube (n³): 1,815,312,228,702,272
Divisor count: 6
σ(n) — sum of divisors: 213,486
φ(n) — Euler's totient: 60,992
Sum of prime factors: 30,501

Primality

Prime factorization: 2 ² × 30497

Nearest primes: 121,967 (−21) · 121,993 (+5)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 30497 · 60994 (half) · 121988

Aliquot sum (sum of proper divisors): 91,498

Factor pairs (a × b = 121,988)

1 × 121988

2 × 60994

4 × 30497

First multiples

121,988 · 243,976 (double) · 365,964 · 487,952 · 609,940 · 731,928 · 853,916 · 975,904 · 1,097,892 · 1,219,880

Sums & aliquot sequence

As a sum of two squares: 88² + 338²

As consecutive integers: 15,245 + 15,246 + … + 15,252

Aliquot sequence: 121,988 → 91,498 → 58,262 → 29,134 → 20,834 → 13,294 → 8,810 → 7,066 → 3,536 → 4,276 → 3,214 → 1,610 → 1,846 → 1,178 → 742 → 554 → 280 — unresolved within range

Continued fraction of √n

√121,988 = [349; (3, 1, 2, 1, 3, 5, 1, 10, 1, 1, 1, 1, 3, 18, 1, 1, 1, 1, 21, 4, 2, 2, 13, 41, …)]

Representations

In words: one hundred twenty-one thousand nine hundred eighty-eight
Ordinal: 121988th
Binary: 11101110010000100
Octal: 356204
Hexadecimal: 0x1DC84
Base64: AdyE
One's complement: 4,294,845,307 (32-bit)
Scientific notation: 1.21988 × 10⁵
As a duration: 121,988 s = 1 day, 9 hours, 53 minutes, 8 seconds

In other bases

ternary (3) 20012100002

quaternary (4) 131302010

quinary (5) 12400423

senary (6) 2340432

septenary (7) 1015436

nonary (9) 205302

undecimal (11) 83719

duodecimal (12) 5a718

tridecimal (13) 436a9

tetradecimal (14) 32656

pentadecimal (15) 26228

Palindromic in base 6

As an angle

121,988° = 338 × 360° + 308°

308° ≈ 5.376 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρκαϡπηʹ
Mayan (base 20): 𝋯·𝋤·𝋳·𝋨
Chinese: 一十二萬一千九百八十八
Chinese (financial): 壹拾貳萬壹仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١٢١٩٨٨ Devanagari १२१९८८ Bengali ১২১৯৮৮ Tamil ௧௨௧௯௮௮ Thai ๑๒๑๙๘๘ Tibetan ༡༢༡༩༨༨ Khmer ១២១៩៨៨ Lao ໑໒໑໙໘໘ Burmese ၁၂၁၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121988, here are decompositions:

37 + 121951 = 121988
67 + 121921 = 121988
79 + 121909 = 121988
199 + 121789 = 121988
277 + 121711 = 121988
367 + 121621 = 121988
379 + 121609 = 121988
397 + 121591 = 121988

Showing the first eight; more decompositions exist.

Hex color

#01DC84

RGB(1, 220, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.132.

Address: 0.1.220.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.220.132

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 121,988 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US121,988 on Google Patents ↗ Look up on USPTO ↗