113212864800 has 432 divisors, whose sum is σ = 456883382592. Its totient is φ = 25841203200.

The previous prime is 113212864771. The next prime is 113212864813. The reversal of 113212864800 is 8468212311.

113212864800 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 1 + 2 + 8 + 648 + 0 + 0 = 666.

It is a super-3 number, since 3×113212864800³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56295795 + ... + 56297805.

Almost surely, 2^113212864800 is an apocalyptic number.

113212864800 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 113212864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228441691296).

113212864800 is an abundant number, since it is smaller than the sum of its proper divisors (343670517792).

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

113212864800 is a wasteful number, since it uses less digits than its factorization.

113212864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 113212864800 in words is "one hundred thirteen billion, two hundred twelve million, eight hundred sixty-four thousand, eight hundred".