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120,220

120,220 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.).

120,220 (one hundred twenty thousand two hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,011. Its proper divisors sum to 132,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D59C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
22,021
Square (n²)
14,452,848,400
Cube (n³)
1,737,521,434,648,000
Divisor count
12
σ(n) — sum of divisors
252,504
φ(n) — Euler's totient
48,080
Sum of prime factors
6,020

Primality

Prime factorization: 2 2 × 5 × 6011

Nearest primes: 120,209 (−11) · 120,223 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6011 · 12022 · 24044 · 30055 · 60110 (half) · 120220
Aliquot sum (sum of proper divisors): 132,284
Factor pairs (a × b = 120,220)
1 × 120220
2 × 60110
4 × 30055
5 × 24044
10 × 12022
20 × 6011
First multiples
120,220 · 240,440 (double) · 360,660 · 480,880 · 601,100 · 721,320 · 841,540 · 961,760 · 1,081,980 · 1,202,200

Sums & aliquot sequence

As consecutive integers: 24,042 + 24,043 + 24,044 + 24,045 + 24,046 15,024 + 15,025 + … + 15,031 2,986 + 2,987 + … + 3,025
Aliquot sequence: 120,220 132,284 99,220 135,392 131,224 120,776 113,464 115,856 126,316 104,516 99,604 79,680 176,352 331,680 714,624 1,184,616 2,023,914 — unresolved within range

Continued fraction of √n

√120,220 = [346; (1, 2, 1, 2, 28, 1, 1, 7, 1, 2, 1, 18, 1, 1, 11, 1, 6, 1, 2, 2, 1, 32, 3, 8, …)]

Representations

In words
one hundred twenty thousand two hundred twenty
Ordinal
120220th
Binary
11101010110011100
Octal
352634
Hexadecimal
0x1D59C
Base64
AdWc
One's complement
4,294,847,075 (32-bit)
Scientific notation
1.2022 × 10⁵
As a duration
120,220 s = 1 day, 9 hours, 23 minutes, 40 seconds
In other bases
ternary (3) 20002220121
quaternary (4) 131112130
quinary (5) 12321340
senary (6) 2324324
septenary (7) 1010332
nonary (9) 202817
undecimal (11) 82361
duodecimal (12) 596a4
tridecimal (13) 42949
tetradecimal (14) 31b52
pentadecimal (15) 2594a

As an angle

120,220° = 333 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρκσκʹ
Mayan (base 20)
𝋯·𝋠·𝋫·𝋠
Chinese
一十二萬零二百二十
Chinese (financial)
壹拾貳萬零貳佰貳拾
In other modern scripts
Eastern Arabic ١٢٠٢٢٠ Devanagari १२०२२० Bengali ১২০২২০ Tamil ௧௨௦௨௨௦ Thai ๑๒๐๒๒๐ Tibetan ༡༢༠༢༢༠ Khmer ១២០២២០ Lao ໑໒໐໒໒໐ Burmese ၁၂၀၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120220, here are decompositions:

  • 11 + 120209 = 120220
  • 53 + 120167 = 120220
  • 173 + 120047 = 120220
  • 179 + 120041 = 120220
  • 227 + 119993 = 120220
  • 239 + 119981 = 120220
  • 257 + 119963 = 120220
  • 389 + 119831 = 120220

Showing the first eight; more decompositions exist.

Unicode codepoint
𝖜
Mathematical Bold Fraktur Small W
U+1D59C
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 96 9C (4 bytes).

Hex color
#01D59C
RGB(1, 213, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.156.

Address
0.1.213.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.156

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 120,220 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 120220 first appears in π at position 77,164 of the decimal expansion (the 77,164ordinal-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