122112

122,112 is an even composite number composed of three prime numbers multiplied together.

What does the number 122112 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

122112 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 122112:

28 × 32 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 53)

See below for interesting mathematical facts about the number 122112 from the Numbermatics database.

Names of 122112

• Cardinal: 122112 can be written as One hundred twenty-two thousand, one hundred twelve.

Scientific notation

• Scientific notation: 1.22112 × 105

Factors of 122112

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 58

Divisors of 122112

• Number of divisors d(n): 54
• Complete list of divisors:
• Sum of all divisors σ(n): 358722
• Sum of proper divisors (its aliquot sum) s(n): 236610
• 122112 is an abundant number, because the sum of its proper divisors (236610) is greater than itself. Its abundance is 114498

Bases of 122112

• Binary: 111011101000000002
• Base-36: 2M80

Squares and roots of 122112

• 122112 squared (1221122) is 14911340544
• 122112 cubed (1221123) is 1820853616508928
• The square root of 122112 is 349.4452746855
• The cube root of 122112 is 49.6119291459

Scales and comparisons

How big is 122112?
• 122,112 seconds is equal to 9 hours, 55 minutes, 12 seconds.
• To count from 1 to 122,112 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 122112 cubic inches would be around 4.1 feet tall.

Recreational maths with 122112

• 122112 backwards is 211221
• 122112 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 122112's digits is 9
• More coming soon!

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below: