112011113101200 has 120 divisors (see below), whose sum is σ = 360033537295488. Its totient is φ = 29767685936640.

The previous prime is 112011113101193. The next prime is 112011113101207. The reversal of 112011113101200 is 2101311110211.

It is an interprime number because it is at equal distance from previous prime (112011113101193) and next prime (112011113101207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112011113101200.

It is not an unprimeable number, because it can be changed into a prime (112011113101207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158936104 + ... + 159639303.

Almost surely, 2^{112011113101200} is an apocalyptic number.

112011113101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011113101200 is an abundant number, since it is smaller than the sum of its proper divisors (248022424194288).

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

112011113101200 is a wasteful number, since it uses less digits than its factorization.

112011113101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318575721 (or 318575710 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 112011113101200 its reverse (2101311110211), we get a palindrome (114112424211411).

The spelling of 112011113101200 in words is "one hundred twelve trillion, eleven billion, one hundred thirteen million, one hundred one thousand, two hundred".