number.wiki
Live analysis

121,264

121,264 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.).

121,264 (one hundred twenty-one thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 11 × 13 × 53. Its proper divisors sum to 159,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D9B0.

Abundant Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
96
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
462,121
Square (n²)
14,704,957,696
Cube (n³)
1,783,181,990,047,744
Divisor count
40
σ(n) — sum of divisors
281,232
φ(n) — Euler's totient
49,920
Sum of prime factors
85

Primality

Prime factorization: 2 4 × 11 × 13 × 53

Nearest primes: 121,259 (−5) · 121,267 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 11 · 13 · 16 · 22 · 26 · 44 · 52 · 53 · 88 · 104 · 106 · 143 · 176 · 208 · 212 · 286 · 424 · 572 · 583 · 689 · 848 · 1144 · 1166 · 1378 · 2288 · 2332 · 2756 · 4664 · 5512 · 7579 · 9328 · 11024 · 15158 · 30316 · 60632 (half) · 121264
Aliquot sum (sum of proper divisors): 159,968
Factor pairs (a × b = 121,264)
1 × 121264
2 × 60632
4 × 30316
8 × 15158
11 × 11024
13 × 9328
16 × 7579
22 × 5512
26 × 4664
44 × 2756
52 × 2332
53 × 2288
88 × 1378
104 × 1166
106 × 1144
143 × 848
176 × 689
208 × 583
212 × 572
286 × 424
First multiples
121,264 · 242,528 (double) · 363,792 · 485,056 · 606,320 · 727,584 · 848,848 · 970,112 · 1,091,376 · 1,212,640

Sums & aliquot sequence

As consecutive integers: 11,019 + 11,020 + … + 11,029 9,322 + 9,323 + … + 9,334 3,774 + 3,775 + … + 3,805 2,262 + 2,263 + … + 2,314
Aliquot sequence: 121,264 159,968 155,032 135,668 120,112 112,636 91,484 68,620 80,564 73,324 60,740 66,856 61,484 51,916 38,944 37,790 30,250 — unresolved within range

Continued fraction of √n

√121,264 = [348; (4, 2, 1, 5, 2, 8, 7, 4, 1, 2, 3, 2, 4, 2, 3, 2, 1, 4, 7, 8, 2, 5, 1, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand two hundred sixty-four
Ordinal
121264th
Binary
11101100110110000
Octal
354660
Hexadecimal
0x1D9B0
Base64
Admw
One's complement
4,294,846,031 (32-bit)
Scientific notation
1.21264 × 10⁵
As a duration
121,264 s = 1 day, 9 hours, 41 minutes, 4 seconds
In other bases
ternary (3) 20011100021
quaternary (4) 131212300
quinary (5) 12340024
senary (6) 2333224
septenary (7) 1013353
nonary (9) 204307
undecimal (11) 83120
duodecimal (12) 5a214
tridecimal (13) 43270
tetradecimal (14) 3229a
pentadecimal (15) 25de4

As an angle

121,264° = 336 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκασξδʹ
Mayan (base 20)
𝋯·𝋣·𝋣·𝋤
Chinese
一十二萬一千二百六十四
Chinese (financial)
壹拾貳萬壹仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ١٢١٢٦٤ Devanagari १२१२६४ Bengali ১২১২৬৪ Tamil ௧௨௧௨௬௪ Thai ๑๒๑๒๖๔ Tibetan ༡༢༡༢༦༤ Khmer ១២១២៦៤ Lao ໑໒໑໒໖໔ Burmese ၁၂၁၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121264, here are decompositions:

  • 5 + 121259 = 121264
  • 83 + 121181 = 121264
  • 107 + 121157 = 121264
  • 113 + 121151 = 121264
  • 197 + 121067 = 121264
  • 251 + 121013 = 121264
  • 257 + 121007 = 121264
  • 263 + 121001 = 121264

Showing the first eight; more decompositions exist.

Unicode codepoint
𝦰
Signwriting Movement-Wallplane Wave Hitting Chest
U+1D9B0
Other symbol (So)

UTF-8 encoding: F0 9D A6 B0 (4 bytes).

Hex color
#01D9B0
RGB(1, 217, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.176.

Address
0.1.217.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.176

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 121,264 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