112011011011200 has 192 divisors, whose sum is σ = 421641448845120. Its totient is φ = 25602516787200.

The previous prime is 112011011011177. The next prime is 112011011011223. The reversal of 112011011011200 is 2110110110211.

It is an interprime number because it is at equal distance from previous prime (112011011011177) and next prime (112011011011223).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 833348061 + ... + 833482460.

It is an arithmetic number, because the mean of its divisors is an integer number (2196049212735).

Almost surely, 2^{112011011011200} is an apocalyptic number.

112011011011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011011011200 is an abundant number, since it is smaller than the sum of its proper divisors (309630437833920).

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

112011011011200 is a wasteful number, since it uses less digits than its factorization.

112011011011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666830555 (or 1666830538 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112011011011200 its reverse (2110110110211), we get a palindrome (114121121121411).

The spelling of 112011011011200 in words is "one hundred twelve trillion, eleven billion, eleven million, eleven thousand, two hundred".