110112122112 has 144 divisors (see below), whose sum is σ = 319121544000. Its totient is φ = 33573076992.

The previous prime is 110112122111. The next prime is 110112122117. The reversal of 110112122112 is 211221211011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110112122091 and 110112122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112122111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293064 + ... + 553272.

Almost surely, 2^110112122112 is an apocalyptic number.

110112122112 is a gapful number since it is divisible by the number (12) 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 110112122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159560772000).

110112122112 is an abundant number, since it is smaller than the sum of its proper divisors (209009421888).

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

110112122112 is a wasteful number, since it uses less digits than its factorization.

110112122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260276 (or 260262 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110112122112 its reverse (211221211011), we get a palindrome (321333333123).

The spelling of 110112122112 in words is "one hundred ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".