112323200 has 96 divisors (see below), whose sum is σ = 302793120. Its totient is φ = 40832000.

The previous prime is 112323179. The next prime is 112323229. The reversal of 112323200 is 2323211.

It is a happy number.

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, 33605 + ... + 36795.

It is an arithmetic number, because the mean of its divisors is an integer number (3154095).

Almost surely, 2^112323200 is an apocalyptic number.

112323200 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 112323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151396560).

112323200 is an abundant number, since it is smaller than the sum of its proper divisors (190469920).

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

112323200 is a wasteful number, since it uses less digits than its factorization.

112323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 112323200 is about 10598.2640087894. The cubic root of 112323200 is about 482.4916730108.

Adding to 112323200 its reverse (2323211), we get a palindrome (114646411).

The spelling of 112323200 in words is "one hundred twelve million, three hundred twenty-three thousand, two hundred".