110112000 has 288 divisors, whose sum is σ = 387738624. Its totient is φ = 27648000.

The previous prime is 110111923. The next prime is 110112061. The reversal of 110112000 is 211011.

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 self number, because there is not a number n which added to its sum of digits gives 110112000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975982 + ... + 2976018.

Almost surely, 2^110112000 is an apocalyptic number.

110112000 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 110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193869312).

110112000 is an abundant number, since it is smaller than the sum of its proper divisors (277626624).

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

110112000 is an equidigital number, since it uses as much as digits as its factorization.

110112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

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

The square root of 110112000 is about 10493.4265137752. The cubic root of 110112000 is about 479.3045484320.

Adding to 110112000 its reverse (211011), we get a palindrome (110323011).

The spelling of 110112000 in words is "one hundred ten million, one hundred twelve thousand".