Live analysis

121,320

121,320 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.).

121,320 (one hundred twenty-one thousand three hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 5 × 337. Its proper divisors sum to 274,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D9E8.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

121,308 121,309 121,310 121,311 121,312 121,313 121,314 121,315 121,316 121,317 121,318 121,319 121,320 121,321 121,322 121,323 121,324 121,325 121,326 121,327 121,328 121,329 121,330 121,331 121,332

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 23,121
Square (n²): 14,718,542,400
Cube (n³): 1,785,653,563,968,000
Divisor count: 48
σ(n) — sum of divisors: 395,460
φ(n) — Euler's totient: 32,256
Sum of prime factors: 354

Primality

Prime factorization: 2 ³ × 3 ² × 5 × 337

Nearest primes: 121,313 (−7) · 121,321 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 30 · 36 · 40 · 45 · 60 · 72 · 90 · 120 · 180 · 337 · 360 · 674 · 1011 · 1348 · 1685 · 2022 · 2696 · 3033 · 3370 · 4044 · 5055 · 6066 · 6740 · 8088 · 10110 · 12132 · 13480 · 15165 · 20220 · 24264 · 30330 · 40440 · 60660 (half) · 121320

Aliquot sum (sum of proper divisors): 274,140

Factor pairs (a × b = 121,320)

1 × 121320

2 × 60660

3 × 40440

4 × 30330

5 × 24264

6 × 20220

8 × 15165

9 × 13480

10 × 12132

12 × 10110

15 × 8088

18 × 6740

20 × 6066

24 × 5055

30 × 4044

36 × 3370

40 × 3033

45 × 2696

60 × 2022

72 × 1685

90 × 1348

120 × 1011

180 × 674

337 × 360

First multiples

121,320 · 242,640 (double) · 363,960 · 485,280 · 606,600 · 727,920 · 849,240 · 970,560 · 1,091,880 · 1,213,200

Sums & aliquot sequence

As a sum of two squares: 66² + 342² = 234² + 258²

As consecutive integers: 40,439 + 40,440 + 40,441 24,262 + 24,263 + 24,264 + 24,265 + 24,266 13,476 + 13,477 + … + 13,484 8,081 + 8,082 + … + 8,095

Aliquot sequence: 121,320 → 274,140 → 557,964 → 981,756 → 1,499,996 → 1,270,324 → 1,154,924 → 866,200 → 1,209,560 → 1,760,440 → 2,561,720 → 4,148,320 → 6,547,568 → 6,200,872 → 5,502,188 → 4,126,648 → 4,502,552 — unresolved within range

Continued fraction of √n

√121,320 = [348; (3, 4, 2, 8, 6, 1, 1, 2, 1, 1, 1, 2, 3, 1, 6, 1, 1, 3, 1, 1, 2, 2, 1, 5, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty-one thousand three hundred twenty
Ordinal: 121320th
Binary: 11101100111101000
Octal: 354750
Hexadecimal: 0x1D9E8
Base64: Adno
One's complement: 4,294,845,975 (32-bit)
Scientific notation: 1.2132 × 10⁵
As a duration: 121,320 s = 1 day, 9 hours, 42 minutes

In other bases

ternary (3) 20011102100

quaternary (4) 131213220

quinary (5) 12340240

senary (6) 2333400

septenary (7) 1013463

nonary (9) 204370

undecimal (11) 83171

duodecimal (12) 5a260

tridecimal (13) 432b4

tetradecimal (14) 322da

pentadecimal (15) 25e30

As an angle

121,320° = 337 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ρκατκʹ
Mayan (base 20): 𝋯·𝋣·𝋦·𝋠
Chinese: 一十二萬一千三百二十
Chinese (financial): 壹拾貳萬壹仟參佰貳拾

In other modern scripts

Eastern Arabic ١٢١٣٢٠ Devanagari १२१३२० Bengali ১২১৩২০ Tamil ௧௨௧௩௨௦ Thai ๑๒๑๓๒๐ Tibetan ༡༢༡༣༢༠ Khmer ១២១៣២០ Lao ໑໒໑໓໒໐ Burmese ၁၂၁၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121320, here are decompositions:

7 + 121313 = 121320
11 + 121309 = 121320
29 + 121291 = 121320
37 + 121283 = 121320
53 + 121267 = 121320
61 + 121259 = 121320
131 + 121189 = 121320
139 + 121181 = 121320

Showing the first eight; more decompositions exist.

Unicode codepoint

𝧨

Signwriting Movement-Floorplane Arm Circle Hitting Wall Medium Single

U+1D9E8

Other symbol (So)

UTF-8 encoding: F0 9D A7 A8 (4 bytes).

Lookup U+1D9E8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D9E8

RGB(1, 217, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.232.

Address: 0.1.217.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.217.232

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 121,320 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 US121,320 on Google Patents ↗ Look up on USPTO ↗