112112144 has 80 divisors (see below), whose sum is σ = 242863920. Its totient is φ = 49889280.

The previous prime is 112112129. The next prime is 112112177. The reversal of 112112144 is 441211211.

It can be written as a sum of positive squares in 8 ways, for example, as 9859600 + 102252544 = 3140^2 + 10112^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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

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, 481052 + ... + 481284.

It is an arithmetic number, because the mean of its divisors is an integer number (3035799).

Almost surely, 2^112112144 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 112112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121431960).

112112144 is an abundant number, since it is smaller than the sum of its proper divisors (130751776).

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

112112144 is a wasteful number, since it uses less digits than its factorization.

112112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 64, while the sum is 17.

The square root of 112112144 is about 10588.3022246251. The cubic root of 112112144 is about 482.1892819029.

Adding to 112112144 its reverse (441211211), we get a palindrome (553323355).

The spelling of 112112144 in words is "one hundred twelve million, one hundred twelve thousand, one hundred forty-four".