112258080 has 288 divisors, whose sum is σ = 441080640. Its totient is φ = 25712640.

The previous prime is 112258073. The next prime is 112258093. The reversal of 112258080 is 80852211.

112258080 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 580 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300774 + ... + 301146.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 2^112258080 is an apocalyptic number.

112258080 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 112258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220540320).

112258080 is an abundant number, since it is smaller than the sum of its proper divisors (328822560).

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

112258080 is a wasteful number, since it uses less digits than its factorization.

112258080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 413 counting only the distinct ones).

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

The square root of 112258080 is about 10595.1913621227. The cubic root of 112258080 is about 482.3984125753.

The spelling of 112258080 in words is "one hundred twelve million, two hundred fifty-eight thousand, eighty".