Live analysis

122,000

122,000 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.).

122,000 (one hundred twenty-two thousand) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5³ × 61. Its proper divisors sum to 177,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DC90.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

121,988 121,989 121,990 121,991 121,992 121,993 121,994 121,995 121,996 121,997 121,998 121,999 122,000 122,001 122,002 122,003 122,004 122,005 122,006 122,007 122,008 122,009 122,010 122,011 122,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 221
Square (n²): 14,884,000,000
Cube (n³): 1,815,848,000,000,000
Divisor count: 40
σ(n) — sum of divisors: 299,832
φ(n) — Euler's totient: 48,000
Sum of prime factors: 84

Primality

Prime factorization: 2 ⁴ × 5 ³ × 61

Nearest primes: 121,997 (−3) · 122,011 (+11)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 61 · 80 · 100 · 122 · 125 · 200 · 244 · 250 · 305 · 400 · 488 · 500 · 610 · 976 · 1000 · 1220 · 1525 · 2000 · 2440 · 3050 · 4880 · 6100 · 7625 · 12200 · 15250 · 24400 · 30500 · 61000 (half) · 122000

Aliquot sum (sum of proper divisors): 177,832

Factor pairs (a × b = 122,000)

1 × 122000

2 × 61000

4 × 30500

5 × 24400

8 × 15250

10 × 12200

16 × 7625

20 × 6100

25 × 4880

40 × 3050

50 × 2440

61 × 2000

80 × 1525

100 × 1220

122 × 1000

125 × 976

200 × 610

244 × 500

250 × 488

305 × 400

First multiples

122,000 · 244,000 (double) · 366,000 · 488,000 · 610,000 · 732,000 · 854,000 · 976,000 · 1,098,000 · 1,220,000

Sums & aliquot sequence

As a sum of two squares: 80² + 340² = 140² + 320² = 172² + 304² = 224² + 268²

As consecutive integers: 24,398 + 24,399 + 24,400 + 24,401 + 24,402 4,868 + 4,869 + … + 4,892 3,797 + 3,798 + … + 3,828 1,970 + 1,971 + … + 2,030

Aliquot sequence: 122,000 → 177,832 → 155,618 → 103,582 → 54,314 → 33,466 → 18,554 → 9,280 → 13,580 → 19,348 → 19,404 → 42,840 → 125,640 → 283,860 → 633,420 → 1,562,004 → 2,535,180 — unresolved within range

Continued fraction of √n

√122,000 = [349; (3, 1, 1, 27, 2, 1, 2, 3, 1, 27, 5, 1, 5, 27, 1, 3, 2, 1, 2, 27, 1, 1, 3, 698)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty-two thousand
Ordinal: 122000th
Binary: 11101110010010000
Octal: 356220
Hexadecimal: 0x1DC90
Base64: AdyQ
One's complement: 4,294,845,295 (32-bit)
Scientific notation: 1.22 × 10⁵
As a duration: 122,000 s = 1 day, 9 hours, 53 minutes, 20 seconds

In other bases

ternary (3) 20012100112

quaternary (4) 131302100

quinary (5) 12401000

senary (6) 2340452

septenary (7) 1015454

nonary (9) 205315

undecimal (11) 8372a

duodecimal (12) 5a728

tridecimal (13) 436b8

tetradecimal (14) 32664

pentadecimal (15) 26235

As an angle

122,000° = 338 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼
Greek (Milesian): ͵ρκβ
Mayan (base 20): 𝋯·𝋥·𝋠·𝋠
Chinese: 一十二萬二千
Chinese (financial): 壹拾貳萬貳仟

In other modern scripts

Eastern Arabic ١٢٢٠٠٠ Devanagari १२२००० Bengali ১২২০০০ Tamil ௧௨௨௦௦௦ Thai ๑๒๒๐๐๐ Tibetan ༡༢༢༠༠༠ Khmer ១២២០០០ Lao ໑໒໒໐໐໐ Burmese ၁၂၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122000, here are decompositions:

3 + 121997 = 122000
7 + 121993 = 122000
37 + 121963 = 122000
79 + 121921 = 122000
157 + 121843 = 122000
211 + 121789 = 122000
313 + 121687 = 122000
367 + 121633 = 122000

Showing the first eight; more decompositions exist.

Hex color

#01DC90

RGB(1, 220, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.144.

Address: 0.1.220.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.220.144

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 122,000 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US122,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 122000 first appears in π at position 930,947 of the decimal expansion (the 930,947ordinal-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.

Look up 122000 on Pi Search ↗