Live analysis

122,500

122,500 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.).

122,500 (one hundred twenty-two thousand five hundred) is an even 6-digit number. It is a composite number with 45 divisors, and factors as 2² × 5⁴ × 7². Its proper divisors sum to 189,119, more than the number itself, making it an abundant number. It is a perfect square (350²). Written other ways, in hexadecimal, 0x1DE84.

Abundant Number Gapful Number Harshad / Niven Odious Number Perfect Square Powerful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

122,488 122,489 122,490 122,491 122,492 122,493 122,494 122,495 122,496 122,497 122,498 122,499 122,500 122,501 122,502 122,503 122,504 122,505 122,506 122,507 122,508 122,509 122,510 122,511 122,512

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 17 bits
Reversed: 5,221
Square (n²): 15,006,250,000
Cube (n³): 1,838,265,625,000,000
Square root (√n): 350
Divisor count: 45
σ(n) — sum of divisors: 311,619
φ(n) — Euler's totient: 42,000
Sum of prime factors: 38

Primality

Prime factorization: 2 ² × 5 ⁴ × 7 ²

Nearest primes: 122,497 (−3) · 122,501 (+1)

Divisors & multiples

All divisors (45)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 25 · 28 · 35 · 49 · 50 · 70 · 98 · 100 · 125 · 140 · 175 · 196 · 245 · 250 · 350 · 490 · 500 · 625 · 700 · 875 · 980 · 1225 · 1250 · 1750 · 2450 · 2500 · 3500 · 4375 · 4900 · 6125 · 8750 · 12250 · 17500 · 24500 · 30625 · 61250 (half) · 122500

Aliquot sum (sum of proper divisors): 189,119

Factor pairs (a × b = 122,500)

1 × 122500

2 × 61250

4 × 30625

5 × 24500

7 × 17500

10 × 12250

14 × 8750

20 × 6125

25 × 4900

28 × 4375

35 × 3500

49 × 2500

50 × 2450

70 × 1750

98 × 1250

100 × 1225

125 × 980

140 × 875

175 × 700

196 × 625

245 × 500

250 × 490

350 × 350

First multiples

122,500 · 245,000 (double) · 367,500 · 490,000 · 612,500 · 735,000 · 857,500 · 980,000 · 1,102,500 · 1,225,000

Sums & aliquot sequence

As a sum of two squares: 0² + 350² = 98² + 336² = 210² + 280²

As consecutive integers: 24,498 + 24,499 + 24,500 + 24,501 + 24,502 17,497 + 17,498 + … + 17,503 15,309 + 15,310 + … + 15,316 4,888 + 4,889 + … + 4,912

Aliquot sequence: 122,500 → 189,119 → 27,025 → 8,687 → 1,969 → 191 → 1 → 0 — terminates at zero

Representations

In words: one hundred twenty-two thousand five hundred
Ordinal: 122500th
Binary: 11101111010000100
Octal: 357204
Hexadecimal: 0x1DE84
Base64: Ad6E
One's complement: 4,294,844,795 (32-bit)
Scientific notation: 1.225 × 10⁵
As a duration: 122,500 s = 1 day, 10 hours, 1 minute, 40 seconds

In other bases

ternary (3) 20020001001

quaternary (4) 131322010

quinary (5) 12410000

senary (6) 2343044

septenary (7) 1020100

nonary (9) 206031

undecimal (11) 84044

duodecimal (12) 5aa84

tridecimal (13) 439b1

tetradecimal (14) 32900

pentadecimal (15) 2646a

As an angle

122,500° = 340 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ρκβφʹ
Mayan (base 20): 𝋯·𝋦·𝋥·𝋠
Chinese: 一十二萬二千五百
Chinese (financial): 壹拾貳萬貳仟伍佰

In other modern scripts

Eastern Arabic ١٢٢٥٠٠ Devanagari १२२५०० Bengali ১২২৫০০ Tamil ௧௨௨௫௦௦ Thai ๑๒๒๕๐๐ Tibetan ༡༢༢༥༠༠ Khmer ១២២៥០០ Lao ໑໒໒໕໐໐ Burmese ၁၂၂၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122500, here are decompositions:

3 + 122497 = 122500
11 + 122489 = 122500
23 + 122477 = 122500
29 + 122471 = 122500
47 + 122453 = 122500
101 + 122399 = 122500
107 + 122393 = 122500
113 + 122387 = 122500

Showing the first eight; more decompositions exist.

Hex color

#01DE84

RGB(1, 222, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.132.

Address: 0.1.222.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.222.132

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 122,500 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 US122,500 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 122500 first appears in π at position 695,084 of the decimal expansion (the 695,084ordinal-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 122500 on Pi Search ↗