Live analysis

121,000

121,000 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.).

121,000 (one hundred twenty-one thousand) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5³ × 11². Its proper divisors sum to 190,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D8A8.

Abundant Number Achilles Number Evil Number Gapful Number Harshad / Niven Powerful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

120,988 120,989 120,990 120,991 120,992 120,993 120,994 120,995 120,996 120,997 120,998 120,999 121,000 121,001 121,002 121,003 121,004 121,005 121,006 121,007 121,008 121,009 121,010 121,011 121,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 121
Square (n²): 14,641,000,000
Cube (n³): 1,771,561,000,000,000
Divisor count: 48
σ(n) — sum of divisors: 311,220
φ(n) — Euler's totient: 44,000
Sum of prime factors: 43

Primality

Prime factorization: 2 ³ × 5 ³ × 11 ²

Nearest primes: 120,997 (−3) · 121,001 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 25 · 40 · 44 · 50 · 55 · 88 · 100 · 110 · 121 · 125 · 200 · 220 · 242 · 250 · 275 · 440 · 484 · 500 · 550 · 605 · 968 · 1000 · 1100 · 1210 · 1375 · 2200 · 2420 · 2750 · 3025 · 4840 · 5500 · 6050 · 11000 · 12100 · 15125 · 24200 · 30250 · 60500 (half) · 121000

Aliquot sum (sum of proper divisors): 190,220

Factor pairs (a × b = 121,000)

1 × 121000

2 × 60500

4 × 30250

5 × 24200

8 × 15125

10 × 12100

11 × 11000

20 × 6050

22 × 5500

25 × 4840

40 × 3025

44 × 2750

50 × 2420

55 × 2200

88 × 1375

100 × 1210

110 × 1100

121 × 1000

125 × 968

200 × 605

220 × 550

242 × 500

250 × 484

275 × 440

First multiples

121,000 · 242,000 (double) · 363,000 · 484,000 · 605,000 · 726,000 · 847,000 · 968,000 · 1,089,000 · 1,210,000

Sums & aliquot sequence

As a sum of two squares: 110² + 330² = 198² + 286²

As consecutive integers: 24,198 + 24,199 + 24,200 + 24,201 + 24,202 10,995 + 10,996 + … + 11,005 7,555 + 7,556 + … + 7,570 4,828 + 4,829 + … + 4,852

Aliquot sequence: 121,000 → 190,220 → 209,284 → 156,970 → 151,478 → 94,762 → 47,384 → 41,476 → 31,114 → 16,694 → 9,874 → 4,940 → 6,820 → 9,308 → 8,332 → 6,256 → 7,136 — unresolved within range

Continued fraction of √n

√121,000 = [347; (1, 5, 1, 2, 4, 3, 1, 7, 1, 4, 1, 2, 1, 1, 1, 2, 2, 5, 3, 27, 1, 1, 17, 3, …)]

Representations

In words: one hundred twenty-one thousand
Ordinal: 121000th
Binary: 11101100010101000
Octal: 354250
Hexadecimal: 0x1D8A8
Base64: Adio
One's complement: 4,294,846,295 (32-bit)
Scientific notation: 1.21 × 10⁵
As a duration: 121,000 s = 1 day, 9 hours, 36 minutes, 40 seconds

In other bases

ternary (3) 20010222111

quaternary (4) 131202220

quinary (5) 12333000

senary (6) 2332104

septenary (7) 1012525

nonary (9) 203874

undecimal (11) 82a00

duodecimal (12) 5a034

tridecimal (13) 430c9

tetradecimal (14) 3214c

pentadecimal (15) 25cba

As an angle

121,000° = 336 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼
Greek (Milesian): ͵ρκα
Mayan (base 20): 𝋯·𝋢·𝋪·𝋠
Chinese: 一十二萬一千
Chinese (financial): 壹拾貳萬壹仟

In other modern scripts

Eastern Arabic ١٢١٠٠٠ Devanagari १२१००० Bengali ১২১০০০ Tamil ௧௨௧௦௦௦ Thai ๑๒๑๐๐๐ Tibetan ༡༢༡༠༠༠ Khmer ១២១០០០ Lao ໑໒໑໐໐໐ Burmese ၁၂၁၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121000, here are decompositions:

3 + 120997 = 121000
23 + 120977 = 121000
53 + 120947 = 121000
59 + 120941 = 121000
71 + 120929 = 121000
83 + 120917 = 121000
101 + 120899 = 121000
137 + 120863 = 121000

Showing the first eight; more decompositions exist.

Unicode codepoint

𝢨

Signwriting Hand-Angle Index Middle Little

U+1D8A8

Other symbol (So)

UTF-8 encoding: F0 9D A2 A8 (4 bytes).

Lookup U+1D8A8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D8A8

RGB(1, 216, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.168.

Address: 0.1.216.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.216.168

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 121,000 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 US121,000 on Google Patents ↗ Look up on USPTO ↗