Live analysis

12,020

12,020 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.).

12,020 (twelve thousand twenty) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 601. Its proper divisors sum to 13,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2EF4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

12,008 12,009 12,010 12,011 12,012 12,013 12,014 12,015 12,016 12,017 12,018 12,019 12,020 12,021 12,022 12,023 12,024 12,025 12,026 12,027 12,028 12,029 12,030 12,031 12,032

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 2,021
Recamán's sequence: a(22,744) = 12,020
Square (n²): 144,480,400
Cube (n³): 1,736,654,408,000
Divisor count: 12
σ(n) — sum of divisors: 25,284
φ(n) — Euler's totient: 4,800
Sum of prime factors: 610

Primality

Prime factorization: 2 ² × 5 × 601

Nearest primes: 12,011 (−9) · 12,037 (+17)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 601 · 1202 · 2404 · 3005 · 6010 (half) · 12020

Aliquot sum (sum of proper divisors): 13,264

Factor pairs (a × b = 12,020)

1 × 12020

2 × 6010

4 × 3005

5 × 2404

10 × 1202

20 × 601

First multiples

12,020 · 24,040 (double) · 36,060 · 48,080 · 60,100 · 72,120 · 84,140 · 96,160 · 108,180 · 120,200

Sums & aliquot sequence

As a sum of two squares: 28² + 106² = 68² + 86²

As consecutive integers: 2,402 + 2,403 + 2,404 + 2,405 + 2,406 1,499 + 1,500 + … + 1,506 281 + 282 + … + 320

Aliquot sequence: 12,020 → 13,264 → 12,466 → 7,118 → 3,562 → 2,234 → 1,120 → 1,904 → 2,560 → 3,578 → 1,792 → 2,296 → 2,744 → 3,256 → 3,584 → 4,600 → 6,560 — unresolved within range

Continued fraction of √n

√12,020 = [109; (1, 1, 1, 2, 1, 12, 1, 42, 1, 12, 1, 2, 1, 1, 1, 218)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: twelve thousand twenty
Ordinal: 12020th
Binary: 10111011110100
Octal: 27364
Hexadecimal: 0x2EF4
Base64: LvQ=
One's complement: 53,515 (16-bit)
Scientific notation: 1.202 × 10⁴
As a duration: 12,020 s = 3 hours, 20 minutes, 20 seconds

In other bases

ternary (3) 121111012

quaternary (4) 2323310

quinary (5) 341040

senary (6) 131352

septenary (7) 50021

nonary (9) 17435

undecimal (11) 9038

duodecimal (12) 6b58

tridecimal (13) 5618

tetradecimal (14) 4548

pentadecimal (15) 3865

As an angle

12,020° = 33 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓎆𓎆
Greek (Milesian): ͵ιβκʹ
Mayan (base 20): 𝋡·𝋪·𝋡·𝋠
Chinese: 一萬二千零二十
Chinese (financial): 壹萬貳仟零貳拾

In other modern scripts

Eastern Arabic ١٢٠٢٠ Devanagari १२०२० Bengali ১২০২০ Tamil ௧௨௦௨௦ Thai ๑๒๐๒๐ Tibetan ༡༢༠༢༠ Khmer ១២០២០ Lao ໑໒໐໒໐ Burmese ၁၂၀၂၀

Digit at this position in famous constants

π — Pi (π): Digit 12,020 = 2
e — Euler's number (e): Digit 12,020 = 6
φ — Golden ratio (φ): Digit 12,020 = 2
√2 — Pythagoras's (√2): Digit 12,020 = 6
ln 2 — Natural log of 2: Digit 12,020 = 5
γ — Euler-Mascheroni (γ): Digit 12,020 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12020, here are decompositions:

13 + 12007 = 12020
61 + 11959 = 12020
67 + 11953 = 12020
79 + 11941 = 12020
97 + 11923 = 12020
157 + 11863 = 12020
181 + 11839 = 12020
193 + 11827 = 12020

Showing the first eight; more decompositions exist.

Hex color

#002EF4

RGB(0, 46, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.46.244.

Address: 0.0.46.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.46.244

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

Musical pitch

Heard as a frequency, 12,020 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +26¢)
Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -36¢)
Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +27¢)

Position in π

The digit sequence 12020 first appears in π at position 96,974 of the decimal expansion (the 96,974ordinal-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.

Look up 12020 on Pi Search ↗