112320144 has 60 divisors (see below), whose sum is σ = 320293116. Its totient is φ = 36731136.

The previous prime is 112320137. The next prime is 112320157. The reversal of 112320144 is 441023211.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 56250000 = 7488^2 + 7500^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274 + ... + 14990.

Almost surely, 2^112320144 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 112320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160146558).

112320144 is an abundant number, since it is smaller than the sum of its proper divisors (207972972).

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

112320144 is a wasteful number, since it uses less digits than its factorization.

112320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14784 (or 14775 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112320144 is about 10598.1198332534. The cubic root of 112320144 is about 482.4872972217.

Adding to 112320144 its reverse (441023211), we get a palindrome (553343355).

The spelling of 112320144 in words is "one hundred twelve million, three hundred twenty thousand, one hundred forty-four".