110112000000 has 672 divisors, whose sum is σ = 389020020480. Its totient is φ = 27648000000.

The previous prime is 110111999983. The next prime is 110112000001. The reversal of 110112000000 is 211011.

110112000000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2975999982 + ... + 2976000018.

It is an arithmetic number, because the mean of its divisors is an integer number (578898840).

Almost surely, 2^110112000000 is an apocalyptic number.

110112000000 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 110112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194510010240).

110112000000 is an abundant number, since it is smaller than the sum of its proper divisors (278908020480).

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

110112000000 is an frugal number, since it uses more digits than its factorization.

110112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110112000000 its reverse (211011), we get a palindrome (110112211011).

The spelling of 110112000000 in words is "one hundred ten billion, one hundred twelve million", and thus it is an aban number.