112112111101200 has 120 divisors (see below), whose sum is σ = 410437100100288. Its totient is φ = 25625625392640.

The previous prime is 112112111101189. The next prime is 112112111101213. The reversal of 112112111101200 is 2101111211211.

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 112112111101200.

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, 6673331547 + ... + 6673348346.

Almost surely, 2^{112112111101200} is an apocalyptic number.

112112111101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112111101200 is an abundant number, since it is smaller than the sum of its proper divisors (298324988999088).

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

112112111101200 is a wasteful number, since it uses less digits than its factorization.

112112111101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13346679921 (or 13346679910 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 112112111101200 its reverse (2101111211211), we get a palindrome (114213222312411).

The spelling of 112112111101200 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred eleven million, one hundred one thousand, two hundred".