112051364304000 has 1024 divisors, whose sum is σ = 423162455040000. Its totient is φ = 25962911744000.

The previous prime is 112051364303969. The next prime is 112051364304007. The reversal of 112051364304000 is 403463150211.

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 (112051364304007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20754093301 + ... + 20754098699.

It is an arithmetic number, because the mean of its divisors is an integer number (413244585000).

Almost surely, 2^{112051364304000} is an apocalyptic number.

112051364304000 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 112051364304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211581227520000).

112051364304000 is an abundant number, since it is smaller than the sum of its proper divisors (311111090736000).

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

112051364304000 is a wasteful number, since it uses less digits than its factorization.

112051364304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 112051364304000 in words is "one hundred twelve trillion, fifty-one billion, three hundred sixty-four million, three hundred four thousand".