112111824 has 120 divisors (see below), whose sum is σ = 323243200. Its totient is φ = 33454080.

The previous prime is 112111819. The next prime is 112111847. The reversal of 112111824 is 428111211.

It is a super-2 number, since 2×112111824² = 25138122161213952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112111824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563277 + ... + 563475.

Almost surely, 2^112111824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112111824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161621600).

112111824 is an abundant number, since it is smaller than the sum of its proper divisors (211131376).

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

112111824 is a wasteful number, since it uses less digits than its factorization.

112111824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 312 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

The square root of 112111824 is about 10588.2871135987. The cubic root of 112111824 is about 482.1888231340.

The spelling of 112111824 in words is "one hundred twelve million, one hundred eleven thousand, eight hundred twenty-four".