112409152000 has 80 divisors (see below), whose sum is σ = 280299405672. Its totient is φ = 44963635200.

The previous prime is 112409151971. The next prime is 112409152057. The reversal of 112409152000 is 251904211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63818885376 + 48590266624 = 252624^2 + 220432^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 814197 + ... + 942196.

Almost surely, 2^112409152000 is an apocalyptic number.

112409152000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112409152000 is an abundant number, since it is smaller than the sum of its proper divisors (167890253672).

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

112409152000 is an frugal number, since it uses more digits than its factorization.

112409152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756426 (or 1756400 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 112409152000 in words is "one hundred twelve billion, four hundred nine million, one hundred fifty-two thousand".