112242816 has 192 divisors, whose sum is σ = 381888000. Its totient is φ = 30965760.

The previous prime is 112242803. The next prime is 112242821. The reversal of 112242816 is 618242211.

It is a tau number, because it is divible by the number of its divisors (192).

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 112242816.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249760 + ... + 250208.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000).

Almost surely, 2^112242816 is an apocalyptic number.

112242816 is a gapful number since it is divisible by the number (16) 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 112242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

112242816 is an abundant number, since it is smaller than the sum of its proper divisors (269645184).

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

112242816 is a wasteful number, since it uses less digits than its factorization.

112242816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 492 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 112242816 is about 10594.4710108622. The cubic root of 112242816 is about 482.3765472951.

The spelling of 112242816 in words is "one hundred twelve million, two hundred forty-two thousand, eight hundred sixteen".