110112125760 has 2016 divisors, whose sum is σ = 521416483200. Its totient is φ = 22009688064.

The previous prime is 110112125759. The next prime is 110112125857. The reversal of 110112125760 is 67521211011.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5795375031 + ... + 5795375049.

Almost surely, 2^110112125760 is an apocalyptic number.

110112125760 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 110112125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260708241600).

110112125760 is an abundant number, since it is smaller than the sum of its proper divisors (411304357440).

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

110112125760 is an equidigital number, since it uses as much as digits as its factorization.

110112125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 110112125760 its reverse (67521211011), we get a palindrome (177633336771).

The spelling of 110112125760 in words is "one hundred ten billion, one hundred twelve million, one hundred twenty-five thousand, seven hundred sixty".