112257024 has 144 divisors (see below), whose sum is σ = 331138080. Its totient is φ = 33792000.

The previous prime is 112257011. The next prime is 112257031. The reversal of 112257024 is 420752211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112256985 and 112257003.

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, 743349 + ... + 743499.

It is an arithmetic number, because the mean of its divisors is an integer number (2299570).

Almost surely, 2^112257024 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 112257024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165569040).

112257024 is an abundant number, since it is smaller than the sum of its proper divisors (218881056).

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

112257024 is a wasteful number, since it uses less digits than its factorization.

112257024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 112257024 is about 10595.1415280779. The cubic root of 112257024 is about 482.3968999468.

The spelling of 112257024 in words is "one hundred twelve million, two hundred fifty-seven thousand, twenty-four".