112224112 has 180 divisors, whose sum is σ = 301803600. Its totient is φ = 40360320.

The previous prime is 112224103. The next prime is 112224121. The reversal of 112224112 is 211422211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (112224103) and next prime (112224121).

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 8632618 + ... + 8632630.

Almost surely, 2^112224112 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 112224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150901800).

112224112 is an abundant number, since it is smaller than the sum of its proper divisors (189579488).

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

112224112 is a wasteful number, since it uses less digits than its factorization.

112224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 112224112 is about 10593.5882495026. The cubic root of 112224112 is about 482.3497516020.

Adding to 112224112 its reverse (211422211), we get a palindrome (323646323).

The spelling of 112224112 in words is "one hundred twelve million, two hundred twenty-four thousand, one hundred twelve".