112224320 has 112 divisors (see below), whose sum is σ = 293796720. Its totient is φ = 40574976.

The previous prime is 112224271. The next prime is 112224341. The reversal of 112224320 is 23422211.

It can be written as a sum of positive squares in 8 ways, for example, as 33856 + 112190464 = 184^2 + 10592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220226 + ... + 220734.

It is an arithmetic number, because the mean of its divisors is an integer number (2623185).

Almost surely, 2^112224320 is an apocalyptic number.

112224320 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 112224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146898360).

112224320 is an abundant number, since it is smaller than the sum of its proper divisors (181572400).

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

112224320 is a wasteful number, since it uses less digits than its factorization.

112224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 112224320 is about 10593.5980667571. The cubic root of 112224320 is about 482.3500496030.

Adding to 112224320 its reverse (23422211), we get a palindrome (135646531).

The spelling of 112224320 in words is "one hundred twelve million, two hundred twenty-four thousand, three hundred twenty".