112052880 has 120 divisors (see below), whose sum is σ = 396165120. Its totient is φ = 28304640.

The previous prime is 112052873. The next prime is 112052887. The reversal of 112052880 is 88250211.

It is an interprime number because it is at equal distance from previous prime (112052873) and next prime (112052887).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (112052887) by changing a digit.

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, 9585 + ... + 17775.

It is an arithmetic number, because the mean of its divisors is an integer number (3301376).

Almost surely, 2^112052880 is an apocalyptic number.

112052880 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 112052880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198082560).

112052880 is an abundant number, since it is smaller than the sum of its proper divisors (284112240).

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

112052880 is a wasteful number, since it uses less digits than its factorization.

112052880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 112052880 is about 10585.5032946006. The cubic root of 112052880 is about 482.1043029959.

The spelling of 112052880 in words is "one hundred twelve million, fifty-two thousand, eight hundred eighty".