112120344040 has 64 divisors (see below), whose sum is σ = 261184078800. Its totient is φ = 43266091008.

The previous prime is 112120343989. The next prime is 112120344067. The reversal of 112120344040 is 40443021211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 77116179204 + 35004164836 = 277698^2 + 187094^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395852 + ... + 1473988.

Almost surely, 2^112120344040 is an apocalyptic number.

112120344040 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 112120344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130592039400).

112120344040 is an abundant number, since it is smaller than the sum of its proper divisors (149063734760).

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

112120344040 is a wasteful number, since it uses less digits than its factorization.

112120344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79414 (or 79410 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 112120344040 its reverse (40443021211), we get a palindrome (152563365251).

The spelling of 112120344040 in words is "one hundred twelve billion, one hundred twenty million, three hundred forty-four thousand, forty".