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Number

12,011

12,011 is a prime, odd.

12,011 (twelve thousand eleven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2EEB.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
11,021
Recamán's sequence
a(22,762) = 12,011
Square (n²)
144,264,121
Cube (n³)
1,732,756,357,331
Divisor count
2
σ(n) — sum of divisors
12,012
φ(n) — Euler's totient
12,010

Primality

12,011 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12011
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,011)
1 × 12011
First multiples
12,011 · 24,022 (double) · 36,033 · 48,044 · 60,055 · 72,066 · 84,077 · 96,088 · 108,099 · 120,110

Sums & aliquot sequence

As consecutive integers: 6,005 + 6,006

Continued fraction of √n

√12,011 = [109; (1, 1, 2, 7, 6, 3, 4, 1, 3, 1, 1, 2, 1, 43, 8, 2, 2, 4, 1, 16, 21, 1, 6, 8, …)]

Representations

In words
twelve thousand eleven
Ordinal
12011th
Binary
10111011101011
Octal
27353
Hexadecimal
0x2EEB
Base64
Lus=
One's complement
53,524 (16-bit)
Scientific notation
1.2011 × 10⁴
As a duration
12,011 s = 3 hours, 20 minutes, 11 seconds
In other bases
ternary (3) 121110212
quaternary (4) 2323223
quinary (5) 341021
senary (6) 131335
septenary (7) 50006
nonary (9) 17425
undecimal (11) 902a
duodecimal (12) 6b4b
tridecimal (13) 560c
tetradecimal (14) 453d
pentadecimal (15) 385b

As an angle

12,011° = 33 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓎆𓏺
Greek (Milesian)
͵ιβιαʹ
Mayan (base 20)
𝋡·𝋪·𝋠·𝋫
Chinese
一萬二千零一十一
Chinese (financial)
壹萬貳仟零壹拾壹
In other modern scripts
Eastern Arabic ١٢٠١١ Devanagari १२०११ Bengali ১২০১১ Tamil ௧௨௦௧௧ Thai ๑๒๐๑๑ Tibetan ༡༢༠༡༡ Khmer ១២០១១ Lao ໑໒໐໑໑ Burmese ၁၂၀၁၁

Digit at this position in famous constants

π — Pi (π)
Digit 12,011 = 1
e — Euler's number (e)
Digit 12,011 = 2
φ — Golden ratio (φ)
Digit 12,011 = 5
√2 — Pythagoras's (√2)
Digit 12,011 = 7
ln 2 — Natural log of 2
Digit 12,011 = 3
γ — Euler-Mascheroni (γ)
Digit 12,011 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,007 (gap of 4)
  • Next prime: 12,037 (gap of 26)

Pair status: cousin with 12007.

Unicode codepoint
CJK Radical J-Simplified Even
U+2EEB
Other symbol (So)

UTF-8 encoding: E2 BB AB (3 bytes).

Hex color
#002EEB
RGB(0, 46, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.46.235.

Address
0.0.46.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.46.235

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

Musical pitch

Heard as a frequency, 12,011 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +25¢)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -38¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +26¢)
Position in π

The digit sequence 12011 first appears in π at position 57,980 of the decimal expansion (the 57,980ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.