112416400 has 60 divisors (see below), whose sum is σ = 271109632. Its totient is φ = 44795520.

The previous prime is 112416391. The next prime is 112416401. The reversal of 112416400 is 4614211.

It is not an unprimeable number, because it can be changed into a prime (112416401) 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 11 ways as a sum of consecutive naturals, for example, 184897 + ... + 185503.

Almost surely, 2^112416400 is an apocalyptic number.

112416400 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 112416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135554816).

112416400 is an abundant number, since it is smaller than the sum of its proper divisors (158693232).

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

112416400 is a wasteful number, since it uses less digits than its factorization.

112416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 112416400 is about 10602.6600435928. The cubic root of 112416400 is about 482.6250850225.

The spelling of 112416400 in words is "one hundred twelve million, four hundred sixteen thousand, four hundred".