112050400 has 288 divisors, whose sum is σ = 364476672. Its totient is φ = 32563200.

The previous prime is 112050373. The next prime is 112050409. The reversal of 112050400 is 4050211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112050409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047147 + ... + 1047253.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 2^112050400 is an apocalyptic number.

112050400 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 112050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182238336).

112050400 is an abundant number, since it is smaller than the sum of its proper divisors (252426272).

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

112050400 is a wasteful number, since it uses less digits than its factorization.

112050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 112050400 is about 10585.3861526163. The cubic root of 112050400 is about 482.1007462600.

The spelling of 112050400 in words is "one hundred twelve million, fifty thousand, four hundred".