112396800 has 120 divisors (see below), whose sum is σ = 371422656. Its totient is φ = 29962240.

The previous prime is 112396783. The next prime is 112396807. The reversal of 112396800 is 8693211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (112396807) 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, 36937 + ... + 39863.

Almost surely, 2^112396800 is an apocalyptic number.

112396800 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 112396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185711328).

112396800 is an abundant number, since it is smaller than the sum of its proper divisors (259025856).

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

112396800 is an equidigital number, since it uses as much as digits as its factorization.

112396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 112396800 is about 10601.7357069491. The cubic root of 112396800 is about 482.5970345439.

The spelling of 112396800 in words is "one hundred twelve million, three hundred ninety-six thousand, eight hundred".