111268920 has 128 divisors (see below), whose sum is σ = 393891840. Its totient is φ = 24606720.

The previous prime is 111268919. The next prime is 111268931. The reversal of 111268920 is 29862111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23904 + ... + 28176.

It is an arithmetic number, because the mean of its divisors is an integer number (3077280).

Almost surely, 2^111268920 is an apocalyptic number.

111268920 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 111268920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196945920).

111268920 is an abundant number, since it is smaller than the sum of its proper divisors (282622920).

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

111268920 is a wasteful number, since it uses less digits than its factorization.

111268920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 111268920 is about 10548.4084107509. The cubic root of 111268920 is about 480.9773489045.

The spelling of 111268920 in words is "one hundred eleven million, two hundred sixty-eight thousand, nine hundred twenty".