112996224 has 192 divisors, whose sum is σ = 365816880. Its totient is φ = 33177600.

The previous prime is 112996223. The next prime is 112996231. The reversal of 112996224 is 422699211.

112996224 is a `hidden beast` number, since 1 + 1 + 29 + 9 + 622 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112996223) 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, 468744 + ... + 468984.

Almost surely, 2^112996224 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 112996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182908440).

112996224 is an abundant number, since it is smaller than the sum of its proper divisors (252820656).

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

112996224 is a wasteful number, since it uses less digits than its factorization.

112996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 112996224 is about 10629.9682031509. The cubic root of 112996224 is about 483.4534275760.

The spelling of 112996224 in words is "one hundred twelve million, nine hundred ninety-six thousand, two hundred twenty-four".