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122,561

122,561 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.).

122,561 (one hundred twenty-two thousand five hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DEC1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
120
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
165,221
Square (n²)
15,021,198,721
Cube (n³)
1,841,013,136,444,481
Divisor count
2
σ(n) — sum of divisors
122,562
φ(n) — Euler's totient
122,560

Primality

122,561 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122561
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,561)
1 × 122561
First multiples
122,561 · 245,122 (double) · 367,683 · 490,244 · 612,805 · 735,366 · 857,927 · 980,488 · 1,103,049 · 1,225,610

Sums & aliquot sequence

As a sum of two squares: 65² + 344²
As consecutive integers: 61,280 + 61,281

Continued fraction of √n

√122,561 = [350; (11, 2, 10, 3, 2, 2, 6, 1, 23, 3, 1, 1, 2, 2, 2, 4, 9, 1, 1, 1, 2, 1, 5, 2, …)]

Representations

In words
one hundred twenty-two thousand five hundred sixty-one
Ordinal
122561st
Binary
11101111011000001
Octal
357301
Hexadecimal
0x1DEC1
Base64
Ad7B
One's complement
4,294,844,734 (32-bit)
Scientific notation
1.22561 × 10⁵
As a duration
122,561 s = 1 day, 10 hours, 2 minutes, 41 seconds
In other bases
ternary (3) 20020010022
quaternary (4) 131323001
quinary (5) 12410221
senary (6) 2343225
septenary (7) 1020215
nonary (9) 206108
undecimal (11) 8409a
duodecimal (12) 5ab15
tridecimal (13) 43a2a
tetradecimal (14) 32945
pentadecimal (15) 264ab

As an angle

122,561° = 340 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκβφξαʹ
Mayan (base 20)
𝋯·𝋦·𝋨·𝋡
Chinese
一十二萬二千五百六十一
Chinese (financial)
壹拾貳萬貳仟伍佰陸拾壹
In other modern scripts
Eastern Arabic ١٢٢٥٦١ Devanagari १२२५६१ Bengali ১২২৫৬১ Tamil ௧௨௨௫௬௧ Thai ๑๒๒๕๖๑ Tibetan ༡༢༢༥༦༡ Khmer ១២២៥៦១ Lao ໑໒໒໕໖໑ Burmese ၁၂၂၅၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 122557.

Hex color
#01DEC1
RGB(1, 222, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.193.

Address
0.1.222.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.193

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 122,561 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.