111813120 has 240 divisors, whose sum is σ = 405991872. Its totient is φ = 28385280.

The previous prime is 111813101. The next prime is 111813133. The reversal of 111813120 is 21318111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111813093 and 111813102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529815 + ... + 530025.

Almost surely, 2^111813120 is an apocalyptic number.

111813120 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 111813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202995936).

111813120 is an abundant number, since it is smaller than the sum of its proper divisors (294178752).

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

111813120 is a wasteful number, since it uses less digits than its factorization.

111813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 111813120 is about 10574.1723080343. The cubic root of 111813120 is about 481.7602039475.

The spelling of 111813120 in words is "one hundred eleven million, eight hundred thirteen thousand, one hundred twenty".