Live analysis

121,120

121,120 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.).

121,120 (one hundred twenty-one thousand one hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 757. Its proper divisors sum to 165,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D920.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

121,108 121,109 121,110 121,111 121,112 121,113 121,114 121,115 121,116 121,117 121,118 121,119 121,120 121,121 121,122 121,123 121,124 121,125 121,126 121,127 121,128 121,129 121,130 121,131 121,132

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 17 bits
Reversed: 21,121
Square (n²): 14,670,054,400
Cube (n³): 1,776,836,988,928,000
Divisor count: 24
σ(n) — sum of divisors: 286,524
φ(n) — Euler's totient: 48,384
Sum of prime factors: 772

Primality

Prime factorization: 2 ⁵ × 5 × 757

Nearest primes: 121,081 (−39) · 121,123 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 757 · 1514 · 3028 · 3785 · 6056 · 7570 · 12112 · 15140 · 24224 · 30280 · 60560 (half) · 121120

Aliquot sum (sum of proper divisors): 165,404

Factor pairs (a × b = 121,120)

1 × 121120

2 × 60560

4 × 30280

5 × 24224

8 × 15140

10 × 12112

16 × 7570

20 × 6056

32 × 3785

40 × 3028

80 × 1514

160 × 757

First multiples

121,120 · 242,240 (double) · 363,360 · 484,480 · 605,600 · 726,720 · 847,840 · 968,960 · 1,090,080 · 1,211,200

Sums & aliquot sequence

As a sum of two squares: 4² + 348² = 212² + 276²

As consecutive integers: 24,222 + 24,223 + 24,224 + 24,225 + 24,226 1,861 + 1,862 + … + 1,924 219 + 220 + … + 538

Aliquot sequence: 121,120 → 165,404 → 124,060 → 136,508 → 102,388 → 109,292 → 84,748 → 63,568 → 64,772 → 48,586 → 28,634 → 15,046 → 7,526 → 4,138 → 2,072 → 2,488 → 2,192 — unresolved within range

Continued fraction of √n

√121,120 = [348; (43, 1, 1, 173, 1, 1, 43, 696)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty-one thousand one hundred twenty
Ordinal: 121120th
Binary: 11101100100100000
Octal: 354440
Hexadecimal: 0x1D920
Base64: Adkg
One's complement: 4,294,846,175 (32-bit)
Scientific notation: 1.2112 × 10⁵
As a duration: 121,120 s = 1 day, 9 hours, 38 minutes, 40 seconds

In other bases

ternary (3) 20011010221

quaternary (4) 131210200

quinary (5) 12333440

senary (6) 2332424

septenary (7) 1013056

nonary (9) 204127

undecimal (11) 82aaa

duodecimal (12) 5a114

tridecimal (13) 4318c

tetradecimal (14) 321d6

pentadecimal (15) 25d4a

As an angle

121,120° = 336 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓍢𓎆𓎆
Greek (Milesian): ͵ρκαρκʹ
Mayan (base 20): 𝋯·𝋢·𝋰·𝋠
Chinese: 一十二萬一千一百二十
Chinese (financial): 壹拾貳萬壹仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٢١١٢٠ Devanagari १२११२० Bengali ১২১১২০ Tamil ௧௨௧௧௨௦ Thai ๑๒๑๑๒๐ Tibetan ༡༢༡༡༢༠ Khmer ១២១១២០ Lao ໑໒໑໑໒໐ Burmese ၁၂၁၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121120, here are decompositions:

53 + 121067 = 121120
59 + 121061 = 121120
101 + 121019 = 121120
107 + 121013 = 121120
113 + 121007 = 121120
173 + 120947 = 121120
179 + 120941 = 121120
191 + 120929 = 121120

Showing the first eight; more decompositions exist.

Unicode codepoint

𝤠

Signwriting Squeeze Flick Alternating

U+1D920

Other symbol (So)

UTF-8 encoding: F0 9D A4 A0 (4 bytes).

Lookup U+1D920 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D920

RGB(1, 217, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.32.

Address: 0.1.217.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.217.32

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 121,120 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 US121,120 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 121120 first appears in π at position 53,191 of the decimal expansion (the 53,191ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 121120 on Pi Search ↗