112507720000 has 420 divisors, whose sum is σ = 314841359140. Its totient is φ = 39638016000.

The previous prime is 112507719997. The next prime is 112507720001. The reversal of 112507720000 is 27705211.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 81759396096 + 30748323904 = 285936^2 + 175352^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112507720001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275079796 + ... + 275080204.

Almost surely, 2^112507720000 is an apocalyptic number.

112507720000 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 112507720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157420679570).

112507720000 is an abundant number, since it is smaller than the sum of its proper divisors (202333639140).

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

112507720000 is an equidigital number, since it uses as much as digits as its factorization.

112507720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The spelling of 112507720000 in words is "one hundred twelve billion, five hundred seven million, seven hundred twenty thousand".