112939200 has 504 divisors, whose sum is σ = 471684096. Its totient is φ = 25344000.

The previous prime is 112939193. The next prime is 112939213. The reversal of 112939200 is 2939211.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3643185 + ... + 3643215.

Almost surely, 2^112939200 is an apocalyptic number.

112939200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235842048).

112939200 is an abundant number, since it is smaller than the sum of its proper divisors (358744896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112939200 is a wasteful number, since it uses less digits than its factorization.

112939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 112939200 is about 10627.2856365113. The cubic root of 112939200 is about 483.3720883180.

The spelling of 112939200 in words is "one hundred twelve million, nine hundred thirty-nine thousand, two hundred".