112192400 has 60 divisors (see below), whose sum is σ = 276156804. Its totient is φ = 43776000.

The previous prime is 112192393. The next prime is 112192427. The reversal of 112192400 is 4291211.

It can be written as a sum of positive squares in 6 ways, for example, as 9048064 + 103144336 = 3008^2 + 10156^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12980 + ... + 19820.

Almost surely, 2^112192400 is an apocalyptic number.

112192400 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 112192400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138078402).

112192400 is an abundant number, since it is smaller than the sum of its proper divisors (163964404).

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

112192400 is a wasteful number, since it uses less digits than its factorization.

112192400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 112192400 is about 10592.0913893338. The cubic root of 112192400 is about 482.3043136058.

The spelling of 112192400 in words is "one hundred twelve million, one hundred ninety-two thousand, four hundred".