112547707200 has 504 divisors, whose sum is σ = 424096159680. Its totient is φ = 29033856000.

The previous prime is 112547707187. The next prime is 112547707219. The reversal of 112547707200 is 2707745211.

112547707200 is a `hidden beast` number, since 112 + 5 + 477 + 0 + 72 + 0 + 0 = 666.

112547707200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 41513845 + ... + 41516555.

Almost surely, 2^112547707200 is an apocalyptic number.

112547707200 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 112547707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212048079840).

112547707200 is an abundant number, since it is smaller than the sum of its proper divisors (311548452480).

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

112547707200 is a wasteful number, since it uses less digits than its factorization.

112547707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 112547707200 in words is "one hundred twelve billion, five hundred forty-seven million, seven hundred seven thousand, two hundred".