# 12300

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

What does the number 12300 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

12300 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 12300:

### 22 × 3 × 52 × 41

(2 × 2 × 3 × 5 × 5 × 41)

See below for interesting mathematical facts about the number 12300 from the Numbermatics database.

### Names of 12300

• Cardinal: 12300 can be written as Twelve thousand, three hundred.

### Scientific notation

• Scientific notation: 1.23 × 104

### Factors of 12300

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 51

### Divisors of 12300

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 36456
• Sum of proper divisors (its aliquot sum) s(n): 24156
• 12300 is an abundant number, because the sum of its proper divisors (24156) is greater than itself. Its abundance is 11856

### Bases of 12300

• Binary: 110000000011002
• Base-36: 9HO

### Squares and roots of 12300

• 12300 squared (123002) is 151290000
• 12300 cubed (123003) is 1860867000000
• The square root of 12300 is 110.9053650641
• The cube root of 12300 is 23.0835023975

### Scales and comparisons

How big is 12300?
• 12,300 seconds is equal to 3 hours, 25 minutes.
• To count from 1 to 12,300 would take you about three 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 12300 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12300

• 12300 backwards is 00321
• 12300 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 12300's digits is 6
• More coming soon!