112013120113200 has 720 divisors, whose sum is σ = 397418201107200. Its totient is φ = 29211079680000.

The previous prime is 112013120113199. The next prime is 112013120113241. The reversal of 112013120113200 is 2311021310211.

112013120113200 is a `hidden beast` number, since 1 + 1 + 20 + 1 + 312 + 0 + 11 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 9805922689 + ... + 9805934111.

It is an arithmetic number, because the mean of its divisors is an integer number (551969723760).

Almost surely, 2^{112013120113200} is an apocalyptic number.

112013120113200 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 112013120113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198709100553600).

112013120113200 is an abundant number, since it is smaller than the sum of its proper divisors (285405080994000).

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

112013120113200 is a wasteful number, since it uses less digits than its factorization.

112013120113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11878 (or 11864 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112013120113200 its reverse (2311021310211), we get a palindrome (114324141423411).

The spelling of 112013120113200 in words is "one hundred twelve trillion, thirteen billion, one hundred twenty million, one hundred thirteen thousand, two hundred".