110115120 has 160 divisors (see below), whose sum is σ = 365923008. Its totient is φ = 27295744.

The previous prime is 110115113. The next prime is 110115121. The reversal of 110115120 is 21511011.

It is a super-2 number, since 2×110115120² = 24250679305228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110115096 and 110115105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110115121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558862 + ... + 559058.

Almost surely, 2^110115120 is an apocalyptic number.

110115120 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 110115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182961504).

110115120 is an abundant number, since it is smaller than the sum of its proper divisors (255807888).

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

110115120 is a wasteful number, since it uses less digits than its factorization.

110115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

The square root of 110115120 is about 10493.5751772215. The cubic root of 110115120 is about 479.3090753866.

Adding to 110115120 its reverse (21511011), we get a palindrome (131626131).

The spelling of 110115120 in words is "one hundred ten million, one hundred fifteen thousand, one hundred twenty".