112512400 has 240 divisors, whose sum is σ = 364226688. Its totient is φ = 32256000.

The previous prime is 112512397. The next prime is 112512401. The reversal of 112512400 is 4215211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112512401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400260 + ... + 400540.

Almost surely, 2^112512400 is an apocalyptic number.

112512400 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 112512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182113344).

112512400 is an abundant number, since it is smaller than the sum of its proper divisors (251714288).

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

112512400 is a wasteful number, since it uses less digits than its factorization.

112512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 112512400 is about 10607.1862432975. The cubic root of 112512400 is about 482.7624280488.

Adding to 112512400 its reverse (4215211), we get a palindrome (116727611).

The spelling of 112512400 in words is "one hundred twelve million, five hundred twelve thousand, four hundred".