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122,867

122,867 is a prime, 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.).

122,867 (one hundred twenty-two thousand eight hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DFF3.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,344
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
768,221
Square (n²)
15,096,299,689
Cube (n³)
1,854,837,053,888,363
Divisor count
2
σ(n) — sum of divisors
122,868
φ(n) — Euler's totient
122,866

Primality

122,867 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122867
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,867)
1 × 122867
First multiples
122,867 · 245,734 (double) · 368,601 · 491,468 · 614,335 · 737,202 · 860,069 · 982,936 · 1,105,803 · 1,228,670

Sums & aliquot sequence

As consecutive integers: 61,433 + 61,434

Continued fraction of √n

√122,867 = [350; (1, 1, 9, 1, 26, 17, 16, 4, 11, 1, 1, 1, 2, 1, 21, 1, 7, 1, 11, 5, 30, 3, 1, 1, …)]

Representations

In words
one hundred twenty-two thousand eight hundred sixty-seven
Ordinal
122867th
Binary
11101111111110011
Octal
357763
Hexadecimal
0x1DFF3
Base64
Ad/z
One's complement
4,294,844,428 (32-bit)
Scientific notation
1.22867 × 10⁵
As a duration
122,867 s = 1 day, 10 hours, 7 minutes, 47 seconds
In other bases
ternary (3) 20020112122
quaternary (4) 131333303
quinary (5) 12412432
senary (6) 2344455
septenary (7) 1021133
nonary (9) 206478
undecimal (11) 84348
duodecimal (12) 5b12b
tridecimal (13) 43c04
tetradecimal (14) 32ac3
pentadecimal (15) 26612
Palindromic in base 11

As an angle

122,867° = 341 × 360° + 107°
107° ≈ 1.868 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβωξζʹ
Mayan (base 20)
𝋯·𝋧·𝋣·𝋧
Chinese
一十二萬二千八百六十七
Chinese (financial)
壹拾貳萬貳仟捌佰陸拾柒
In other modern scripts
Eastern Arabic ١٢٢٨٦٧ Devanagari १२२८६७ Bengali ১২২৮৬৭ Tamil ௧௨௨௮௬௭ Thai ๑๒๒๘๖๗ Tibetan ༡༢༢༨༦༧ Khmer ១២២៨៦៧ Lao ໑໒໒໘໖໗ Burmese ၁၂၂၈၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 122869, sexy with 122861.

Hex color
#01DFF3
RGB(1, 223, 243)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.243.

Address
0.1.223.243
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.223.243

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 122,867 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

  • 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.