# 12300800

## 12,300,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 12300800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 90 divisors.

12300800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety divisors.

## Prime factorization of 12300800:

### 29 × 52 × 312

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 31)

See below for interesting mathematical facts about the number 12300800 from the Numbermatics database.

### Names of 12300800

• Cardinal: 12300800 can be written as Twelve million, three hundred thousand, eight hundred.

### Scientific notation

• Scientific notation: 1.23008 × 107

### Factors of 12300800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 38

### Divisors of 12300800

• Number of divisors d(n): 90
• Complete list of divisors:
• Sum of all divisors σ(n): 31491009
• Sum of proper divisors (its aliquot sum) s(n): 19190209
• 12300800 is an abundant number, because the sum of its proper divisors (19190209) is greater than itself. Its abundance is 6889409

### Bases of 12300800

• Binary: 1011101110110010000000002
• Base-36: 7BNCW

### Squares and roots of 12300800

• 12300800 squared (123008002) is 151309680640000
• 12300800 cubed (123008003) is 1861230119616512000000
• The square root of 12300800 is 3507.2496346853
• The cube root of 12300800 is 230.8400284201

### Scales and comparisons

How big is 12300800?
• 12,300,800 seconds is equal to 20 weeks, 2 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 12,300,800 would take you about thirty weeks!

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 12300800 cubic inches would be around 19.2 feet tall.

### Recreational maths with 12300800

• 12300800 backwards is 00800321
• The number of decimal digits it has is: 8
• The sum of 12300800's digits is 14
• More coming soon!