112650700800 has 576 divisors, whose sum is σ = 413300422080. Its totient is φ = 26836992000.

The previous prime is 112650700711. The next prime is 112650700817. The reversal of 112650700800 is 8007056211.

It is a super-2 number, since 2×112650700800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103065054 + ... + 103066146.

It is an arithmetic number, because the mean of its divisors is an integer number (717535455).

Almost surely, 2^112650700800 is an apocalyptic number.

112650700800 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 112650700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206650211040).

112650700800 is an abundant number, since it is smaller than the sum of its proper divisors (300649721280).

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

112650700800 is a wasteful number, since it uses less digits than its factorization.

112650700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

It can be divided in two parts, 112650 and 700800, that added together give a triangular number (813450 = T₁₂₇₅).

The spelling of 112650700800 in words is "one hundred twelve billion, six hundred fifty million, seven hundred thousand, eight hundred".