112951699200 has 972 divisors, whose sum is σ = 448729654464. Its totient is φ = 26984448000.

The previous prime is 112951699123. The next prime is 112951699207. The reversal of 112951699200 is 2996159211.

112951699200 is a `hidden beast` number, since 1 + 1 + 29 + 516 + 99 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112951699207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1851667170 + ... + 1851667230.

Almost surely, 2^112951699200 is an apocalyptic number.

112951699200 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 112951699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224364827232).

112951699200 is an abundant number, since it is smaller than the sum of its proper divisors (335777955264).

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

112951699200 is a wasteful number, since it uses less digits than its factorization.

112951699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 112951699200 in words is "one hundred twelve billion, nine hundred fifty-one million, six hundred ninety-nine thousand, two hundred".