111238920 has 320 divisors, whose sum is σ = 426888000. Its totient is φ = 25754112.

The previous prime is 111238913. The next prime is 111238927. The reversal of 111238920 is 29832111.

It is an interprime number because it is at equal distance from previous prime (111238913) and next prime (111238927).

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

It is not an unprimeable number, because it can be changed into a prime (111238927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800211 + ... + 800349.

It is an arithmetic number, because the mean of its divisors is an integer number (1334025).

Almost surely, 2^111238920 is an apocalyptic number.

111238920 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 111238920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213444000).

111238920 is an abundant number, since it is smaller than the sum of its proper divisors (315649080).

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

111238920 is a wasteful number, since it uses less digits than its factorization.

111238920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

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

The square root of 111238920 is about 10546.9862994127. The cubic root of 111238920 is about 480.9341184514.

The spelling of 111238920 in words is "one hundred eleven million, two hundred thirty-eight thousand, nine hundred twenty".