110112200121200 has 120 divisors (see below), whose sum is σ = 266182177536000. Its totient is φ = 43772741210880.

The previous prime is 110112200121173. The next prime is 110112200121257. The reversal of 110112200121200 is 2121002211011.

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, 67893341 + ... + 69496259.

It is an arithmetic number, because the mean of its divisors is an integer number (2218184812800).

Almost surely, 2^{110112200121200} is an apocalyptic number.

110112200121200 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 110112200121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133091088768000).

110112200121200 is an abundant number, since it is smaller than the sum of its proper divisors (156069977414800).

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

110112200121200 is a wasteful number, since it uses less digits than its factorization.

110112200121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603999 (or 1603988 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110112200121200 its reverse (2121002211011), we get a palindrome (112233202332211).

The spelling of 110112200121200 in words is "one hundred ten trillion, one hundred twelve billion, two hundred million, one hundred twenty-one thousand, two hundred".