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122,512

122,512 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.).

122,512 (one hundred twenty-two thousand five hundred twelve) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 19 × 31. Its proper divisors sum to 155,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE90.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
40
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
215,221
Recamán's sequence
a(30,052) = 122,512
Square (n²)
15,009,190,144
Cube (n³)
1,838,805,902,921,728
Divisor count
40
σ(n) — sum of divisors
277,760
φ(n) — Euler's totient
51,840
Sum of prime factors
71

Primality

Prime factorization: 2 4 × 13 × 19 × 31

Nearest primes: 122,509 (−3) · 122,527 (+15)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 13 · 16 · 19 · 26 · 31 · 38 · 52 · 62 · 76 · 104 · 124 · 152 · 208 · 247 · 248 · 304 · 403 · 494 · 496 · 589 · 806 · 988 · 1178 · 1612 · 1976 · 2356 · 3224 · 3952 · 4712 · 6448 · 7657 · 9424 · 15314 · 30628 · 61256 (half) · 122512
Aliquot sum (sum of proper divisors): 155,248
Factor pairs (a × b = 122,512)
1 × 122512
2 × 61256
4 × 30628
8 × 15314
13 × 9424
16 × 7657
19 × 6448
26 × 4712
31 × 3952
38 × 3224
52 × 2356
62 × 1976
76 × 1612
104 × 1178
124 × 988
152 × 806
208 × 589
247 × 496
248 × 494
304 × 403
First multiples
122,512 · 245,024 (double) · 367,536 · 490,048 · 612,560 · 735,072 · 857,584 · 980,096 · 1,102,608 · 1,225,120

Sums & aliquot sequence

As consecutive integers: 9,418 + 9,419 + … + 9,430 6,439 + 6,440 + … + 6,457 3,937 + 3,938 + … + 3,967 3,813 + 3,814 + … + 3,844
Aliquot sequence: 122,512 155,248 156,240 462,768 775,248 1,296,048 2,481,488 2,482,480 5,517,008 7,375,024 7,376,016 12,297,328 12,298,320 34,127,280 95,864,400 247,942,960 382,230,992 — unresolved within range

Continued fraction of √n

√122,512 = [350; (58, 2, 1, 77, 8, 1, 5, 1, 1, 2, 5, 8, 2, 5, 3, 5, 2, 8, 5, 2, 1, 1, 5, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand five hundred twelve
Ordinal
122512th
Binary
11101111010010000
Octal
357220
Hexadecimal
0x1DE90
Base64
Ad6Q
One's complement
4,294,844,783 (32-bit)
Scientific notation
1.22512 × 10⁵
As a duration
122,512 s = 1 day, 10 hours, 1 minute, 52 seconds
In other bases
ternary (3) 20020001111
quaternary (4) 131322100
quinary (5) 12410022
senary (6) 2343104
septenary (7) 1020115
nonary (9) 206044
undecimal (11) 84055
duodecimal (12) 5aa94
tridecimal (13) 439c0
tetradecimal (14) 3290c
pentadecimal (15) 26477

As an angle

122,512° = 340 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρκβφιβʹ
Mayan (base 20)
𝋯·𝋦·𝋥·𝋬
Chinese
一十二萬二千五百一十二
Chinese (financial)
壹拾貳萬貳仟伍佰壹拾貳
In other modern scripts
Eastern Arabic ١٢٢٥١٢ Devanagari १२२५१२ Bengali ১২২৫১২ Tamil ௧௨௨௫௧௨ Thai ๑๒๒๕๑๒ Tibetan ༡༢༢༥༡༢ Khmer ១២២៥១២ Lao ໑໒໒໕໑໒ Burmese ၁၂၂၅၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122512, here are decompositions:

  • 3 + 122509 = 122512
  • 11 + 122501 = 122512
  • 23 + 122489 = 122512
  • 41 + 122471 = 122512
  • 59 + 122453 = 122512
  • 113 + 122399 = 122512
  • 149 + 122363 = 122512
  • 191 + 122321 = 122512

Showing the first eight; more decompositions exist.

Hex color
#01DE90
RGB(1, 222, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.144.

Address
0.1.222.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.144

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 122,512 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