110816133120 has 960 divisors, whose sum is σ = 486807235200. Its totient is φ = 22649241600.

The previous prime is 110816133091. The next prime is 110816133167. The reversal of 110816133120 is 21331618011.

110816133120 is a `hidden beast` number, since 1 + 10 + 8 + 1 + 613 + 31 + 2 + 0 = 666.

110816133120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1816657890 + ... + 1816657950.

It is an arithmetic number, because the mean of its divisors is an integer number (507090870).

Almost surely, 2^110816133120 is an apocalyptic number.

110816133120 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 110816133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243403617600).

110816133120 is an abundant number, since it is smaller than the sum of its proper divisors (375991102080).

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

110816133120 is an frugal number, since it uses more digits than its factorization.

110816133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 110816133120 in words is "one hundred ten billion, eight hundred sixteen million, one hundred thirty-three thousand, one hundred twenty".