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12,221

12,221 is a composite number, odd.

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.).

12,221 (twelve thousand two hundred twenty-one) is an odd 5-digit number. It is a composite number with 6 divisors, and factors as 11² × 101. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x2FBD.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Palindrome Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
8
Digital root
8
Palindrome
Yes
Bit width
14 bits
Recamán's sequence
a(22,342) = 12,221
Square (n²)
149,352,841
Cube (n³)
1,825,241,069,861
Divisor count
6
σ(n) — sum of divisors
13,566
φ(n) — Euler's totient
11,000
Sum of prime factors
123

Primality

Prime factorization: 11 2 × 101

Nearest primes: 12,211 (−10) · 12,227 (+6)

Divisors & multiples

All divisors (6)
1 · 11 · 101 · 121 · 1111 · 12221
Aliquot sum (sum of proper divisors): 1,345
Factor pairs (a × b = 12,221)
1 × 12221
11 × 1111
101 × 121
First multiples
12,221 · 24,442 (double) · 36,663 · 48,884 · 61,105 · 73,326 · 85,547 · 97,768 · 109,989 · 122,210

Sums & aliquot sequence

As a sum of two squares: 11² + 110²
As consecutive integers: 6,110 + 6,111 1,106 + 1,107 + … + 1,116 545 + 546 + … + 566 71 + 72 + … + 171
Aliquot sequence: 12,221 1,345 275 97 1 0 — terminates at zero

Continued fraction of √n

√12,221 = [110; (1, 1, 4, 1, 1, 1, 3, 1, 1, 1, 1, 5, 2, 1, 2, 1, 2, 1, 1, 10, 2, 10, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
twelve thousand two hundred twenty-one
Ordinal
12221st
Binary
10111110111101
Octal
27675
Hexadecimal
0x2FBD
Base64
L70=
One's complement
53,314 (16-bit)
Scientific notation
1.2221 × 10⁴
As a duration
12,221 s = 3 hours, 23 minutes, 41 seconds
In other bases
ternary (3) 121202122
quaternary (4) 2332331
quinary (5) 342341
senary (6) 132325
septenary (7) 50426
nonary (9) 17678
undecimal (11) 9200
duodecimal (12) 70a5
tridecimal (13) 5741
tetradecimal (14) 464d
pentadecimal (15) 394b

As an angle

12,221° = 33 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ιβσκαʹ
Mayan (base 20)
𝋡·𝋪·𝋫·𝋡
Chinese
一萬二千二百二十一
Chinese (financial)
壹萬貳仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٢٢٢١ Devanagari १२२२१ Bengali ১২২২১ Tamil ௧௨௨௨௧ Thai ๑๒๒๒๑ Tibetan ༡༢༢༢༡ Khmer ១២២២១ Lao ໑໒໒໒໑ Burmese ၁၂၂၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 12,221 = 2
e — Euler's number (e)
Digit 12,221 = 1
φ — Golden ratio (φ)
Digit 12,221 = 7
√2 — Pythagoras's (√2)
Digit 12,221 = 7
ln 2 — Natural log of 2
Digit 12,221 = 8
γ — Euler-Mascheroni (γ)
Digit 12,221 = 0

Also seen as

Unicode codepoint
Kangxi Radical Hair
U+2FBD
Other symbol (So)

UTF-8 encoding: E2 BE BD (3 bytes).

Hex color
#002FBD
RGB(0, 47, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.47.189.

Address
0.0.47.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.47.189

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

Musical pitch

Heard as a frequency, 12,221 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G9 (12543.9 Hz, -45¢ — about midway to F♯9)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -8¢)
  • Baroque pitch (A4 = 415 Hz): G♯9 (12534.7 Hz, -44¢)
Position in π

The digit sequence 12221 first appears in π at position 206,730 of the decimal expansion (the 206,730ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.