112206400 has 84 divisors (see below), whose sum is σ = 290708080. Its totient is φ = 42508800.

The previous prime is 112206383. The next prime is 112206403. The reversal of 112206400 is 4602211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112206403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28555 + ... + 32245.

Almost surely, 2^112206400 is an apocalyptic number.

112206400 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 112206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145354040).

112206400 is an abundant number, since it is smaller than the sum of its proper divisors (178501680).

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

112206400 is a wasteful number, since it uses less digits than its factorization.

112206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 112206400 is about 10592.7522391492. The cubic root of 112206400 is about 482.3243743215.

Adding to 112206400 its reverse (4602211), we get a palindrome (116808611).

The spelling of 112206400 in words is "one hundred twelve million, two hundred six thousand, four hundred".