112368211200 has 1296 divisors, whose sum is σ = 501021682560. Its totient is φ = 24524881920.

The previous prime is 112368211171. The next prime is 112368211213. The reversal of 112368211200 is 2112863211.

112368211200 is a `hidden beast` number, since 11 + 236 + 8 + 211 + 200 = 666.

It is a super-2 number, since 2×112368211200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194745312 + ... + 194745888.

Almost surely, 2^112368211200 is an apocalyptic number.

112368211200 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 112368211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250510841280).

112368211200 is an abundant number, since it is smaller than the sum of its proper divisors (388653471360).

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

112368211200 is a wasteful number, since it uses less digits than its factorization.

112368211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 112368211200 in words is "one hundred twelve billion, three hundred sixty-eight million, two hundred eleven thousand, two hundred".