110012120112 has 160 divisors (see below), whose sum is σ = 293196323520. Its totient is φ = 35533209600.

The previous prime is 110012120089. The next prime is 110012120117. The reversal of 110012120112 is 211021210011.

It is a super-2 number, since 2×110012120112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110012120117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48483714 + ... + 48485982.

It is an arithmetic number, because the mean of its divisors is an integer number (1832477022).

Almost surely, 2^110012120112 is an apocalyptic number.

110012120112 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 110012120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146598161760).

110012120112 is an abundant number, since it is smaller than the sum of its proper divisors (183184203408).

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

110012120112 is a wasteful number, since it uses less digits than its factorization.

110012120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110012120112 its reverse (211021210011), we get a palindrome (321033330123).

The spelling of 110012120112 in words is "one hundred ten billion, twelve million, one hundred twenty thousand, one hundred twelve".