110112212111200 has 144 divisors (see below), whose sum is σ = 304725517099920. Its totient is φ = 38516984248320.

The previous prime is 110112212111197. The next prime is 110112212111263. The reversal of 110112212111200 is 2111212211011.

It is a super-2 number, since 2×110112212111200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 278426419 + ... + 278821618.

It is an arithmetic number, because the mean of its divisors is an integer number (2116149424305).

Almost surely, 2^{110112212111200} is an apocalyptic number.

110112212111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112212111200 is an abundant number, since it is smaller than the sum of its proper divisors (194613304988720).

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

110112212111200 is a wasteful number, since it uses less digits than its factorization.

110112212111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557248089 (or 557248076 counting only the distinct ones).

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

Adding to 110112212111200 its reverse (2111212211011), we get a palindrome (112223424322211).

The spelling of 110112212111200 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twelve million, one hundred eleven thousand, two hundred".