112131200 has 96 divisors (see below), whose sum is σ = 281670960. Its totient is φ = 44098560.

The previous prime is 112131193. The next prime is 112131203. The reversal of 112131200 is 2131211.

It is not an unprimeable number, because it can be changed into a prime (112131203) 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, 214139 + ... + 214661.

Almost surely, 2^112131200 is an apocalyptic number.

112131200 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 112131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140835480).

112131200 is an abundant number, since it is smaller than the sum of its proper divisors (169539760).

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

112131200 is an equidigital number, since it uses as much as digits as its factorization.

112131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 112131200 is about 10589.2020473688. The cubic root of 112131200 is about 482.2166000211.

Adding to 112131200 its sum of digits (11), we get a palindrome (112131211).

Adding to 112131200 its reverse (2131211), we get a palindrome (114262411).

The spelling of 112131200 in words is "one hundred twelve million, one hundred thirty-one thousand, two hundred".