112111202101200 has 120 divisors (see below), whose sum is σ = 361713217101600. Its totient is φ = 29681239073280.

The previous prime is 112111202101193. The next prime is 112111202101237. The reversal of 112111202101200 is 2101202111211.

It is a happy number.

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

It is a super-2 number, since 2×112111202101200² (a number of 29 digits) contains 22 as substring.

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 112111202101200.

It is a congruent number.

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, 335897955 + ... + 336231554.

It is an arithmetic number, because the mean of its divisors is an integer number (3014276809180).

Almost surely, 2^{112111202101200} is an apocalyptic number.

112111202101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112111202101200 is an abundant number, since it is smaller than the sum of its proper divisors (249602015000400).

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

112111202101200 is a wasteful number, since it uses less digits than its factorization.

112111202101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672129669 (or 672129658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112111202101200 its reverse (2101202111211), we get a palindrome (114212404212411).

The spelling of 112111202101200 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred two million, one hundred one thousand, two hundred".