112120800 has 288 divisors, whose sum is σ = 413973504. Its totient is φ = 26112000.

The previous prime is 112120793. The next prime is 112120819. The reversal of 112120800 is 8021211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112120800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818332 + ... + 818468.

It is an arithmetic number, because the mean of its divisors is an integer number (1437408).

Almost surely, 2^112120800 is an apocalyptic number.

112120800 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 112120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206986752).

112120800 is an abundant number, since it is smaller than the sum of its proper divisors (301852704).

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

112120800 is a wasteful number, since it uses less digits than its factorization.

112120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 112120800 is about 10588.7109697073. The cubic root of 112120800 is about 482.2016912723.

The spelling of 112120800 in words is "one hundred twelve million, one hundred twenty thousand, eight hundred".