112400320 has 56 divisors (see below), whose sum is σ = 269162784. Its totient is φ = 44706816.

The previous prime is 112400291. The next prime is 112400341. The reversal of 112400320 is 23004211.

It is a super-2 number, since 2×112400320² = 25267663872204800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112400320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62149 + ... + 63931.

Almost surely, 2^112400320 is an apocalyptic number.

112400320 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 112400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134581392).

112400320 is an abundant number, since it is smaller than the sum of its proper divisors (156762464).

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

112400320 is a wasteful number, since it uses less digits than its factorization.

112400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 112400320 is about 10601.9017162017. The cubic root of 112400320 is about 482.6020724211.

Adding to 112400320 its reverse (23004211), we get a palindrome (135404531).

The spelling of 112400320 in words is "one hundred twelve million, four hundred thousand, three hundred twenty".