112090972400 has 240 divisors, whose sum is σ = 301583018880. Its totient is φ = 39684019200.

The previous prime is 112090972393. The next prime is 112090972403. The reversal of 112090972400 is 4279090211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112090972403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 73598039 + ... + 73599561.

It is an arithmetic number, because the mean of its divisors is an integer number (1256595912).

Almost surely, 2^112090972400 is an apocalyptic number.

112090972400 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 112090972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150791509440).

112090972400 is an abundant number, since it is smaller than the sum of its proper divisors (189492046480).

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

112090972400 is a wasteful number, since it uses less digits than its factorization.

112090972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 112090972400 in words is "one hundred twelve billion, ninety million, nine hundred seventy-two thousand, four hundred".