112322031200 has 72 divisors (see below), whose sum is σ = 274422388968. Its totient is φ = 44893383680.

The previous prime is 112322031121. The next prime is 112322031221. The reversal of 112322031200 is 2130223211.

112322031200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 971684 + ... + 1081116.

It is an arithmetic number, because the mean of its divisors is an integer number (3811422069).

Almost surely, 2^112322031200 is an apocalyptic number.

112322031200 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 112322031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137211194484).

112322031200 is an abundant number, since it is smaller than the sum of its proper divisors (162100357768).

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

112322031200 is a wasteful number, since it uses less digits than its factorization.

112322031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110736 (or 110723 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 112322031200 its reverse (2130223211), we get a palindrome (114452254411).

The spelling of 112322031200 in words is "one hundred twelve billion, three hundred twenty-two million, thirty-one thousand, two hundred".