# 122304

## 122,304 is an even composite number composed of four prime numbers multiplied together.

What does the number 122304 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.

122304 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.

## Prime factorization of 122304:

### 26 × 3 × 72 × 13

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13)

See below for interesting mathematical facts about the number 122304 from the Numbermatics database.

### Names of 122304

• Cardinal: 122304 can be written as One hundred twenty-two thousand, three hundred four.

### Scientific notation

• Scientific notation: 1.22304 × 105

### Factors of 122304

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 25

### Divisors of 122304

• Number of divisors d(n): 84
• Complete list of divisors:
• Sum of all divisors σ(n): 405384
• Sum of proper divisors (its aliquot sum) s(n): 283080
• 122304 is an abundant number, because the sum of its proper divisors (283080) is greater than itself. Its abundance is 160776

### Bases of 122304

• Binary: 111011101110000002
• Base-36: 2MDC

### Squares and roots of 122304

• 122304 squared (1223042) is 14958268416
• 122304 cubed (1223043) is 1829456060350464
• The square root of 122304 is 349.7198879105
• The cube root of 122304 is 49.6379175891

### Scales and comparisons

How big is 122304?
• 122,304 seconds is equal to 1 day, 9 hours, 58 minutes, 24 seconds.
• To count from 1 to 122,304 would take you about nine hours.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 122304 cubic inches would be around 4.1 feet tall.

### Recreational maths with 122304

• 122304 backwards is 403221
• 122304 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 122304's digits is 12
• More coming soon!