112101111011200 has 96 divisors (see below), whose sum is σ = 276927743972160. Its totient is φ = 44839963791360.

The previous prime is 112101111011189. The next prime is 112101111011213. The reversal of 112101111011200 is 2110111101211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 553777204 + ... + 553979596.

It is an arithmetic number, because the mean of its divisors is an integer number (2884663999710).

Almost surely, 2^{112101111011200} is an apocalyptic number.

112101111011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101111011200 is an abundant number, since it is smaller than the sum of its proper divisors (164826632960960).

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

112101111011200 is a wasteful number, since it uses less digits than its factorization.

112101111011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375504 (or 375487 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 112101111011200 its reverse (2110111101211), we get a palindrome (114211222112411).

The spelling of 112101111011200 in words is "one hundred twelve trillion, one hundred one billion, one hundred eleven million, eleven thousand, two hundred".