110112122311312 has 80 divisors (see below), whose sum is σ = 234802721664000. Its totient is φ = 49607922798720.

The previous prime is 110112122311309. The next prime is 110112122311327. The reversal of 110112122311312 is 213113221211011.

It is a super-2 number, since 2×110112122311312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 10896853 + ... + 18411019.

It is an arithmetic number, because the mean of its divisors is an integer number (2935034020800).

Almost surely, 2^{110112122311312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110112122311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117401360832000).

110112122311312 is an abundant number, since it is smaller than the sum of its proper divisors (124690599352688).

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

110112122311312 is a wasteful number, since it uses less digits than its factorization.

110112122311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514924 (or 7514918 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 110112122311312 its reverse (213113221211011), we get a palindrome (323225343522323).

The spelling of 110112122311312 in words is "one hundred ten trillion, one hundred twelve billion, one hundred twenty-two million, three hundred eleven thousand, three hundred twelve".