# 122500

## 122,500 is an even composite number composed of three prime numbers multiplied together.

What does the number 122500 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 45 divisors.

122500 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-five divisors.

## Prime factorization of 122500:

### 22 × 54 × 72

(2 × 2 × 5 × 5 × 5 × 5 × 7 × 7)

See below for interesting mathematical facts about the number 122500 from the Numbermatics database.

### Names of 122500

• Cardinal: 122500 can be written as One hundred twenty-two thousand, five hundred.

### Scientific notation

• Scientific notation: 1.225 × 105

### Factors of 122500

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 14

### Divisors of 122500

• Number of divisors d(n): 45
• Complete list of divisors:
• Sum of all divisors σ(n): 311619
• Sum of proper divisors (its aliquot sum) s(n): 189119
• 122500 is an abundant number, because the sum of its proper divisors (189119) is greater than itself. Its abundance is 66619

### Bases of 122500

• Binary: 111011110100001002
• Base-36: 2MIS

### Squares and roots of 122500

• 122500 squared (1225002) is 15006250000
• 122500 cubed (1225003) is 1838265625000000
• 122500 is a perfect square number. Its square root is 350
• The cube root of 122500 is 49.6644194189

### Scales and comparisons

How big is 122500?
• 122,500 seconds is equal to 1 day, 10 hours, 1 minute, 40 seconds.
• To count from 1 to 122,500 would take you about ten 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 122500 cubic inches would be around 4.1 feet tall.

### Recreational maths with 122500

• 122500 backwards is 005221
• 122500 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 122500's digits is 10
• More coming soon!