# 121824

## 121,824 is an even composite number composed of three prime numbers multiplied together.

What does the number 121824 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

121824 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 121824:

### 25 × 34 × 47

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 47)

See below for interesting mathematical facts about the number 121824 from the Numbermatics database.

### Names of 121824

• Cardinal: 121824 can be written as One hundred twenty-one thousand, eight hundred twenty-four.

### Scientific notation

• Scientific notation: 1.21824 × 105

### Factors of 121824

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 52

### Divisors of 121824

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 365904
• Sum of proper divisors (its aliquot sum) s(n): 244080
• 121824 is an abundant number, because the sum of its proper divisors (244080) is greater than itself. Its abundance is 122256

### Bases of 121824

• Binary: 111011011111000002
• Base-36: 2M00

### Squares and roots of 121824

• 121824 squared (1218242) is 14841086976
• 121824 cubed (1218243) is 1808000579764224
• The square root of 121824 is 349.0329497339
• The cube root of 121824 is 49.5728953541

### Scales and comparisons

How big is 121824?
• 121,824 seconds is equal to 1 day, 9 hours, 50 minutes, 24 seconds.
• To count from 1 to 121,824 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 121824 cubic inches would be around 4.1 feet tall.

### Recreational maths with 121824

• 121824 backwards is 428121
• 121824 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 121824's digits is 18
• More coming soon!