112256400 has 120 divisors (see below), whose sum is σ = 362719840. Its totient is φ = 29675520.

The previous prime is 112256369. The next prime is 112256429. The reversal of 112256400 is 4652211.

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

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, 166464 + ... + 167136.

Almost surely, 2^112256400 is an apocalyptic number.

112256400 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 112256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181359920).

112256400 is an abundant number, since it is smaller than the sum of its proper divisors (250463440).

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

112256400 is a wasteful number, since it uses less digits than its factorization.

112256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 822 counting only the distinct ones).

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

The square root of 112256400 is about 10595.1120805775. The cubic root of 112256400 is about 482.3960061164.

The spelling of 112256400 in words is "one hundred twelve million, two hundred fifty-six thousand, four hundred".