111281940 has 432 divisors, whose sum is σ = 454132224. Its totient is φ = 21772800.

The previous prime is 111281923. The next prime is 111281957. The reversal of 111281940 is 49182111.

It is an interprime number because it is at equal distance from previous prime (111281923) and next prime (111281957).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3007602 + ... + 3007638.

It is an arithmetic number, because the mean of its divisors is an integer number (1051232).

Almost surely, 2^111281940 is an apocalyptic number.

111281940 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 111281940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227066112).

111281940 is an abundant number, since it is smaller than the sum of its proper divisors (342850284).

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

111281940 is a wasteful number, since it uses less digits than its factorization.

111281940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 111281940 is about 10549.0255474143. The cubic root of 111281940 is about 480.9961085031.

The spelling of 111281940 in words is "one hundred eleven million, two hundred eighty-one thousand, nine hundred forty".