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122,497

122,497 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.).

122,497 (one hundred twenty-two thousand four hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DE81.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,008
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
794,221
Square (n²)
15,005,515,009
Cube (n³)
1,838,130,572,057,473
Divisor count
2
σ(n) — sum of divisors
122,498
φ(n) — Euler's totient
122,496

Primality

122,497 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 122497
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 122,497)
1 × 122497
First multiples
122,497 · 244,994 (double) · 367,491 · 489,988 · 612,485 · 734,982 · 857,479 · 979,976 · 1,102,473 · 1,224,970

Sums & aliquot sequence

As a sum of two squares: 144² + 319²
As consecutive integers: 61,248 + 61,249

Continued fraction of √n

√122,497 = [349; (1, 232, 3, 77, 2, 3, 1, 25, 6, 1, 3, 8, 2, 1, 1, 1, 1, 2, 2, 2, 2, 5, 1, 8, …)]

Representations

In words
one hundred twenty-two thousand four hundred ninety-seven
Ordinal
122497th
Binary
11101111010000001
Octal
357201
Hexadecimal
0x1DE81
Base64
Ad6B
One's complement
4,294,844,798 (32-bit)
Scientific notation
1.22497 × 10⁵
As a duration
122,497 s = 1 day, 10 hours, 1 minute, 37 seconds
In other bases
ternary (3) 20020000221
quaternary (4) 131322001
quinary (5) 12404442
senary (6) 2343041
septenary (7) 1020064
nonary (9) 206027
undecimal (11) 84041
duodecimal (12) 5aa81
tridecimal (13) 439ab
tetradecimal (14) 328db
pentadecimal (15) 26467

As an angle

122,497° = 340 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβυϟζʹ
Mayan (base 20)
𝋯·𝋦·𝋤·𝋱
Chinese
一十二萬二千四百九十七
Chinese (financial)
壹拾貳萬貳仟肆佰玖拾柒
In other modern scripts
Eastern Arabic ١٢٢٤٩٧ Devanagari १२२४९७ Bengali ১২২৪৯৭ Tamil ௧௨௨௪௯௭ Thai ๑๒๒๔๙๗ Tibetan ༡༢༢༤༩༧ Khmer ១២២៤៩៧ Lao ໑໒໒໔໙໗ Burmese ၁၂၂၄၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 122501.

Hex color
#01DE81
RGB(1, 222, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.129.

Address
0.1.222.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.129

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 122,497 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 122497 first appears in π at position 541,403 of the decimal expansion (the 541,403ordinal-suffix:rd 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.