112031200 has 72 divisors (see below), whose sum is σ = 275841720. Its totient is φ = 44428800.

The previous prime is 112031189. The next prime is 112031203. The reversal of 112031200 is 2130211.

112031200 = 15³ + 16³ + ... + 145³.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112031203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104266 + ... + 105334.

It is an arithmetic number, because the mean of its divisors is an integer number (3831135).

Almost surely, 2^112031200 is an apocalyptic number.

112031200 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 112031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137920860).

112031200 is an abundant number, since it is smaller than the sum of its proper divisors (163810520).

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

112031200 is a wasteful number, since it uses less digits than its factorization.

112031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 112031200 is about 10584.4792030595. The cubic root of 112031200 is about 482.0732084643.

Adding to 112031200 its reverse (2130211), we get a palindrome (114161411).

It can be divided in two parts, 11203 and 1200, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 112031200 in words is "one hundred twelve million, thirty-one thousand, two hundred".