111271440 has 160 divisors (see below), whose sum is σ = 398545920. Its totient is φ = 25155072.

The previous prime is 111271427. The next prime is 111271441. The reversal of 111271440 is 44172111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111271441) 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, 179451 + ... + 180069.

It is an arithmetic number, because the mean of its divisors is an integer number (2490912).

Almost surely, 2^111271440 is an apocalyptic number.

111271440 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 111271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272960).

111271440 is an abundant number, since it is smaller than the sum of its proper divisors (287274480).

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

111271440 is a wasteful number, since it uses less digits than its factorization.

111271440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 111271440 is about 10548.5278593745. The cubic root of 111271440 is about 480.9809799087.

The spelling of 111271440 in words is "one hundred eleven million, two hundred seventy-one thousand, four hundred forty".