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122,420

122,420 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.).

122,420 (one hundred twenty-two thousand four hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,121. Its proper divisors sum to 134,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE34.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
24,221
Square (n²)
14,986,656,400
Cube (n³)
1,834,666,476,488,000
Divisor count
12
σ(n) — sum of divisors
257,124
φ(n) — Euler's totient
48,960
Sum of prime factors
6,130

Primality

Prime factorization: 2 2 × 5 × 6121

Nearest primes: 122,401 (−19) · 122,443 (+23)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6121 · 12242 · 24484 · 30605 · 61210 (half) · 122420
Aliquot sum (sum of proper divisors): 134,704
Factor pairs (a × b = 122,420)
1 × 122420
2 × 61210
4 × 30605
5 × 24484
10 × 12242
20 × 6121
First multiples
122,420 · 244,840 (double) · 367,260 · 489,680 · 612,100 · 734,520 · 856,940 · 979,360 · 1,101,780 · 1,224,200

Sums & aliquot sequence

As a sum of two squares: 52² + 346² = 166² + 308²
As consecutive integers: 24,482 + 24,483 + 24,484 + 24,485 + 24,486 15,299 + 15,300 + … + 15,306 3,041 + 3,042 + … + 3,080
Aliquot sequence: 122,420 134,704 126,316 104,516 99,604 79,680 176,352 331,680 714,624 1,184,616 2,023,914 2,110,614 2,551,530 3,933,654 3,953,706 4,065,942 4,065,954 — unresolved within range

Continued fraction of √n

√122,420 = [349; (1, 7, 1, 2, 1, 42, 1, 138, 1, 42, 1, 2, 1, 7, 1, 698)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand four hundred twenty
Ordinal
122420th
Binary
11101111000110100
Octal
357064
Hexadecimal
0x1DE34
Base64
Ad40
One's complement
4,294,844,875 (32-bit)
Scientific notation
1.2242 × 10⁵
As a duration
122,420 s = 1 day, 10 hours, 20 seconds
In other bases
ternary (3) 20012221002
quaternary (4) 131320310
quinary (5) 12404140
senary (6) 2342432
septenary (7) 1016624
nonary (9) 205832
undecimal (11) 83a81
duodecimal (12) 5aa18
tridecimal (13) 4394c
tetradecimal (14) 32884
pentadecimal (15) 26415
Palindromic in base 3, base 6

As an angle

122,420° = 340 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρκβυκʹ
Mayan (base 20)
𝋯·𝋦·𝋡·𝋠
Chinese
一十二萬二千四百二十
Chinese (financial)
壹拾貳萬貳仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٢٢٤٢٠ Devanagari १२२४२० Bengali ১২২৪২০ Tamil ௧௨௨௪௨௦ Thai ๑๒๒๔๒๐ Tibetan ༡༢༢༤༢༠ Khmer ១២២៤២០ Lao ໑໒໒໔໒໐ Burmese ၁၂၂၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122420, here are decompositions:

  • 19 + 122401 = 122420
  • 31 + 122389 = 122420
  • 73 + 122347 = 122420
  • 97 + 122323 = 122420
  • 157 + 122263 = 122420
  • 211 + 122209 = 122420
  • 271 + 122149 = 122420
  • 367 + 122053 = 122420

Showing the first eight; more decompositions exist.

Hex color
#01DE34
RGB(1, 222, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.52.

Address
0.1.222.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.52

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 122,420 and was likely granted around 1871.

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

Related reading

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