110932989120 has 672 divisors, whose sum is σ = 416299253760. Its totient is φ = 27030896640.

The previous prime is 110932989103. The next prime is 110932989131. The reversal of 110932989120 is 21989239011.

110932989120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110932989120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182755857 + ... + 182756463.

Almost surely, 2^110932989120 is an apocalyptic number.

110932989120 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 110932989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208149626880).

110932989120 is an abundant number, since it is smaller than the sum of its proper divisors (305366264640).

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

110932989120 is a wasteful number, since it uses less digits than its factorization.

110932989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 110932989120 in words is "one hundred ten billion, nine hundred thirty-two million, nine hundred eighty-nine thousand, one hundred twenty".