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122,472

122,472 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.).

122,472 (one hundred twenty-two thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3⁷ × 7. Its proper divisors sum to 271,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE68.

Abundant Number Arithmetic Number Evil Number Frugal Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
224
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
274,221
Recamán's sequence
a(29,996) = 122,472
Square (n²)
14,999,390,784
Cube (n³)
1,837,005,388,098,048
Divisor count
64
σ(n) — sum of divisors
393,600
φ(n) — Euler's totient
34,992
Sum of prime factors
34

Primality

Prime factorization: 2 3 × 3 7 × 7

Nearest primes: 122,471 (−1) · 122,477 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 27 · 28 · 36 · 42 · 54 · 56 · 63 · 72 · 81 · 84 · 108 · 126 · 162 · 168 · 189 · 216 · 243 · 252 · 324 · 378 · 486 · 504 · 567 · 648 · 729 · 756 · 972 · 1134 · 1458 · 1512 · 1701 · 1944 · 2187 · 2268 · 2916 · 3402 · 4374 · 4536 · 5103 · 5832 · 6804 · 8748 · 10206 · 13608 · 15309 · 17496 · 20412 · 30618 · 40824 · 61236 (half) · 122472
Aliquot sum (sum of proper divisors): 271,128
Factor pairs (a × b = 122,472)
1 × 122472
2 × 61236
3 × 40824
4 × 30618
6 × 20412
7 × 17496
8 × 15309
9 × 13608
12 × 10206
14 × 8748
18 × 6804
21 × 5832
24 × 5103
27 × 4536
28 × 4374
36 × 3402
42 × 2916
54 × 2268
56 × 2187
63 × 1944
72 × 1701
81 × 1512
84 × 1458
108 × 1134
126 × 972
162 × 756
168 × 729
189 × 648
216 × 567
243 × 504
252 × 486
324 × 378
First multiples
122,472 · 244,944 (double) · 367,416 · 489,888 · 612,360 · 734,832 · 857,304 · 979,776 · 1,102,248 · 1,224,720

Sums & aliquot sequence

As consecutive integers: 40,823 + 40,824 + 40,825 17,493 + 17,494 + … + 17,499 13,604 + 13,605 + … + 13,612 7,647 + 7,648 + … + 7,662
Aliquot sequence: 122,472 271,128 535,272 802,968 1,204,512 1,957,584 3,399,216 5,766,864 9,217,296 20,422,951 1 0 — terminates at zero

Continued fraction of √n

√122,472 = [349; (1, 23, 1, 698)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand four hundred seventy-two
Ordinal
122472nd
Binary
11101111001101000
Octal
357150
Hexadecimal
0x1DE68
Base64
Ad5o
One's complement
4,294,844,823 (32-bit)
Scientific notation
1.22472 × 10⁵
As a duration
122,472 s = 1 day, 10 hours, 1 minute, 12 seconds
In other bases
ternary (3) 20020000000
quaternary (4) 131321220
quinary (5) 12404342
senary (6) 2343000
septenary (7) 1020030
nonary (9) 206000
undecimal (11) 84019
duodecimal (12) 5aa60
tridecimal (13) 4398c
tetradecimal (14) 328c0
pentadecimal (15) 2644c

As an angle

122,472° = 340 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκβυοβʹ
Mayan (base 20)
𝋯·𝋦·𝋣·𝋬
Chinese
一十二萬二千四百七十二
Chinese (financial)
壹拾貳萬貳仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٢٢٤٧٢ Devanagari १२२४७२ Bengali ১২২৪৭২ Tamil ௧௨௨௪௭௨ Thai ๑๒๒๔๗๒ Tibetan ༡༢༢༤༧༢ Khmer ១២២៤៧២ Lao ໑໒໒໔໗໒ Burmese ၁၂၂၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122472, here are decompositions:

  • 19 + 122453 = 122472
  • 23 + 122449 = 122472
  • 29 + 122443 = 122472
  • 71 + 122401 = 122472
  • 73 + 122399 = 122472
  • 79 + 122393 = 122472
  • 83 + 122389 = 122472
  • 109 + 122363 = 122472

Showing the first eight; more decompositions exist.

Hex color
#01DE68
RGB(1, 222, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.104.

Address
0.1.222.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.104

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 122,472 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.