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121,967

121,967 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.).

121,967 (one hundred twenty-one thousand nine 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, 0x1DC6F.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
756
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
769,121
Square (n²)
14,875,949,089
Cube (n³)
1,814,374,882,538,063
Divisor count
2
σ(n) — sum of divisors
121,968
φ(n) — Euler's totient
121,966

Primality

121,967 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 121967
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,967)
1 × 121967
First multiples
121,967 · 243,934 (double) · 365,901 · 487,868 · 609,835 · 731,802 · 853,769 · 975,736 · 1,097,703 · 1,219,670

Sums & aliquot sequence

As consecutive integers: 60,983 + 60,984

Continued fraction of √n

√121,967 = [349; (4, 4, 1, 5, 1, 1, 2, 26, 2, 8, 36, 1, 1, 1, 4, 3, 1, 11, 3, 1, 1, 2, 1, 40, …)]

Representations

In words
one hundred twenty-one thousand nine hundred sixty-seven
Ordinal
121967th
Binary
11101110001101111
Octal
356157
Hexadecimal
0x1DC6F
Base64
Adxv
One's complement
4,294,845,328 (32-bit)
Scientific notation
1.21967 × 10⁵
As a duration
121,967 s = 1 day, 9 hours, 52 minutes, 47 seconds
In other bases
ternary (3) 20012022022
quaternary (4) 131301233
quinary (5) 12400332
senary (6) 2340355
septenary (7) 1015406
nonary (9) 205268
undecimal (11) 836aa
duodecimal (12) 5a6bb
tridecimal (13) 43691
tetradecimal (14) 3263d
pentadecimal (15) 26212

As an angle

121,967° = 338 × 360° + 287°
287° ≈ 5.009 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαϡξζʹ
Mayan (base 20)
𝋯·𝋤·𝋲·𝋧
Chinese
一十二萬一千九百六十七
Chinese (financial)
壹拾貳萬壹仟玖佰陸拾柒
In other modern scripts
Eastern Arabic ١٢١٩٦٧ Devanagari १२१९६७ Bengali ১২১৯৬৭ Tamil ௧௨௧௯௬௭ Thai ๑๒๑๙๖๗ Tibetan ༡༢༡༩༦༧ Khmer ១២១៩៦៧ Lao ໑໒໑໙໖໗ Burmese ၁၂၁၉၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 121963.

Hex color
#01DC6F
RGB(1, 220, 111)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.111.

Address
0.1.220.111
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.111

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 121,967 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 121967 first appears in π at position 430,968 of the decimal expansion (the 430,968ordinal-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

  • 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.