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12,240

12,240 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.).
Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
4,221
Recamán's sequence
a(22,304) = 12,240
Square (n²)
149,817,600
Cube (n³)
1,833,767,424,000
Divisor count
60
σ(n) — sum of divisors
43,524
φ(n) — Euler's totient
3,072
Sum of prime factors
36

Primality

Prime factorization: 2 4 × 3 2 × 5 × 17

Nearest primes: 12,239 (−1) · 12,241 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 17 · 18 · 20 · 24 · 30 · 34 · 36 · 40 · 45 · 48 · 51 · 60 · 68 · 72 · 80 · 85 · 90 · 102 · 120 · 136 · 144 · 153 · 170 · 180 · 204 · 240 · 255 · 272 · 306 · 340 · 360 · 408 · 510 · 612 · 680 · 720 · 765 · 816 · 1020 · 1224 · 1360 · 1530 · 2040 · 2448 · 3060 · 4080 · 6120 (half) · 12240
Aliquot sum (sum of proper divisors): 31,284
Factor pairs (a × b = 12,240)
1 × 12240
2 × 6120
3 × 4080
4 × 3060
5 × 2448
6 × 2040
8 × 1530
9 × 1360
10 × 1224
12 × 1020
15 × 816
16 × 765
17 × 720
18 × 680
20 × 612
24 × 510
30 × 408
34 × 360
36 × 340
40 × 306
45 × 272
48 × 255
51 × 240
60 × 204
68 × 180
72 × 170
80 × 153
85 × 144
90 × 136
102 × 120
First multiples
12,240 · 24,480 (double) · 36,720 · 48,960 · 61,200 · 73,440 · 85,680 · 97,920 · 110,160 · 122,400

Sums & aliquot sequence

As a sum of two squares: 24² + 108² = 72² + 84²
As consecutive integers: 4,079 + 4,080 + 4,081 2,446 + 2,447 + 2,448 + 2,449 + 2,450 1,356 + 1,357 + … + 1,364 809 + 810 + … + 823
Aliquot sequence: 12,240 31,284 56,076 74,796 107,988 144,012 222,900 422,892 710,604 1,085,736 1,772,664 2,692,056 4,081,704 7,050,936 10,779,864 16,169,856 29,326,224 — unresolved within range

Representations

In words
twelve thousand two hundred forty
Ordinal
12240th
Binary
10111111010000
Octal
27720
Hexadecimal
0x2FD0
Base64
L9A=
One's complement
53,295 (16-bit)
In other bases
ternary (3) 121210100
quaternary (4) 2333100
quinary (5) 342430
senary (6) 132400
septenary (7) 50454
nonary (9) 17710
undecimal (11) 9218
duodecimal (12) 7100
tridecimal (13) 5757
tetradecimal (14) 4664
pentadecimal (15) 3960

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιβσμʹ
Mayan (base 20)
𝋡·𝋪·𝋬·𝋠
Chinese
一萬二千二百四十
Chinese (financial)
壹萬貳仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٢٢٤٠ Devanagari १२२४० Bengali ১২২৪০ Tamil ௧௨௨௪௦ Thai ๑๒๒๔๐ Tibetan ༡༢༢༤༠ Khmer ១២២៤០ Lao ໑໒໒໔໐ Burmese ၁၂၂၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 12,240 = 7
e — Euler's number (e)
Digit 12,240 = 1
φ — Golden ratio (φ)
Digit 12,240 = 3
√2 — Pythagoras's (√2)
Digit 12,240 = 6
ln 2 — Natural log of 2
Digit 12,240 = 3
γ — Euler-Mascheroni (γ)
Digit 12,240 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12240, here are decompositions:

  • 13 + 12227 = 12240
  • 29 + 12211 = 12240
  • 37 + 12203 = 12240
  • 43 + 12197 = 12240
  • 79 + 12161 = 12240
  • 83 + 12157 = 12240
  • 97 + 12143 = 12240
  • 127 + 12113 = 12240

Showing the first eight; more decompositions exist.

Unicode codepoint
Kangxi Radical Nose
U+2FD0
Other symbol (So)

UTF-8 encoding: E2 BF 90 (3 bytes).

Hex color
#002FD0
RGB(0, 47, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.208.

Address
0.0.47.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.208

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 12240 first appears in π at position 162,264 of the decimal expansion (the 162,264ordinal-suffix:th 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.