112111101211200 has 672 divisors, whose sum is σ = 452789837095680. Its totient is φ = 23649457766400.

The previous prime is 112111101211157. The next prime is 112111101211289. The reversal of 112111101211200 is 2112101111211.

It is a tau number, because it is divible by the number of its divisors (672).

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 112111101211200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2437757806 + ... + 2437803794.

It is an arithmetic number, because the mean of its divisors is an integer number (673794400440).

Almost surely, 2^{112111101211200} is an apocalyptic number.

112111101211200 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 112111101211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226394918547840).

112111101211200 is an abundant number, since it is smaller than the sum of its proper divisors (340678735884480).

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

112111101211200 is a wasteful number, since it uses less digits than its factorization.

112111101211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51615 (or 51600 counting only the distinct ones).

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

Adding to 112111101211200 its reverse (2112101111211), we get a palindrome (114223202322411).

The spelling of 112111101211200 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred one million, two hundred eleven thousand, two hundred".