# 123201

## 123,201 is an odd composite number composed of two prime numbers multiplied together.

What does the number 123201 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 21 divisors.

123201 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-one divisors.

## Prime factorization of 123201:

### 36 × 132

(3 × 3 × 3 × 3 × 3 × 3 × 13 × 13)

See below for interesting mathematical facts about the number 123201 from the Numbermatics database.

### Names of 123201

• Cardinal: 123201 can be written as One hundred twenty-three thousand, two hundred one.

### Scientific notation

• Scientific notation: 1.23201 × 105

### Factors of 123201

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 16

### Divisors of 123201

• Number of divisors d(n): 21
• Complete list of divisors:
• Sum of all divisors σ(n): 200019
• Sum of proper divisors (its aliquot sum) s(n): 76818
• 123201 is a deficient number, because the sum of its proper divisors (76818) is less than itself. Its deficiency is 46383

### Bases of 123201

• Binary: 111100001010000012
• Base-36: 2N29

### Squares and roots of 123201

• 123201 squared (1232012) is 15178486401
• 123201 cubed (1232013) is 1870004703089601
• 123201 is a perfect square number. Its square root is 351
• The cube root of 123201 is 49.7589733233

### Scales and comparisons

How big is 123201?
• 123,201 seconds is equal to 1 day, 10 hours, 13 minutes, 21 seconds.
• To count from 1 to 123,201 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 123201 cubic inches would be around 4.1 feet tall.

### Recreational maths with 123201

• 123201 backwards is 102321
• 123201 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 123201's digits is 9
• More coming soon!