111882240 has 156 divisors (see below), whose sum is σ = 388449984. Its totient is φ = 29786112.

The previous prime is 111882229. The next prime is 111882263. The reversal of 111882240 is 42288111.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184017 + ... + 184623.

It is an arithmetic number, because the mean of its divisors is an integer number (2490064).

Almost surely, 2^111882240 is an apocalyptic number.

111882240 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 111882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194224992).

111882240 is an abundant number, since it is smaller than the sum of its proper divisors (276567744).

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

111882240 is an equidigital number, since it uses as much as digits as its factorization.

111882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 111882240 is about 10577.4401440046. The cubic root of 111882240 is about 481.8594540953.

The spelling of 111882240 in words is "one hundred eleven million, eight hundred eighty-two thousand, two hundred forty".