112400400 has 120 divisors (see below), whose sum is σ = 411523264. Its totient is φ = 25689600.

The previous prime is 112400381. The next prime is 112400401. The reversal of 112400400 is 4004211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112400401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1710 + ... + 15090.

Almost surely, 2^112400400 is an apocalyptic number.

112400400 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 112400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205761632).

112400400 is an abundant number, since it is smaller than the sum of its proper divisors (299122864).

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

112400400 is a wasteful number, since it uses less digits than its factorization.

112400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13409 (or 13398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 112400400 is about 10601.9054891090. The cubic root of 112400400 is about 482.6021869171.

Adding to 112400400 its reverse (4004211), we get a palindrome (116404611).

The spelling of 112400400 in words is "one hundred twelve million, four hundred thousand, four hundred".