112652400 has 120 divisors (see below), whose sum is σ = 412445824. Its totient is φ = 25747200.

The previous prime is 112652399. The next prime is 112652431. The reversal of 112652400 is 4256211.

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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1695 + ... + 15105.

Almost surely, 2^112652400 is an apocalyptic number.

112652400 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 112652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206222912).

112652400 is an abundant number, since it is smaller than the sum of its proper divisors (299793424).

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

112652400 is a wasteful number, since it uses less digits than its factorization.

112652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13439 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 112652400 is about 10613.7834912909. The cubic root of 112652400 is about 482.9625799917.

The spelling of 112652400 in words is "one hundred twelve million, six hundred fifty-two thousand, four hundred".