112096224 has 120 divisors (see below), whose sum is σ = 335716920. Its totient is φ = 36681984.

The previous prime is 112096189. The next prime is 112096247. The reversal of 112096224 is 422690211.

112096224 is a `hidden beast` number, since 11 + 20 + 9 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152562 + ... + 153294.

It is an arithmetic number, because the mean of its divisors is an integer number (2797641).

Almost surely, 2^112096224 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 112096224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167858460).

112096224 is an abundant number, since it is smaller than the sum of its proper divisors (223620696).

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

112096224 is an equidigital number, since it uses as much as digits as its factorization.

112096224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112096224 is about 10587.5504249094. The cubic root of 112096224 is about 482.1664570882.

It can be divided in two parts, 1120 and 96224, that added together give a square (97344 = 312²).

The spelling of 112096224 in words is "one hundred twelve million, ninety-six thousand, two hundred twenty-four".