112245405344000 has 144 divisors (see below), whose sum is σ = 279653702065920. Its totient is φ = 44892322764800.

The previous prime is 112245405343961. The next prime is 112245405344167. The reversal of 112245405344000 is 443504542211.

It is a happy number.

112245405344000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 250111811 + ... + 250560189.

It is an arithmetic number, because the mean of its divisors is an integer number (1942039597680).

Almost surely, 2^{112245405344000} is an apocalyptic number.

112245405344000 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 112245405344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139826851032960).

112245405344000 is an abundant number, since it is smaller than the sum of its proper divisors (167408296721920).

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

112245405344000 is an frugal number, since it uses more digits than its factorization.

112245405344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456233 (or 456209 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 112245405344000 its reverse (443504542211), we get a palindrome (112688909886211).

The spelling of 112245405344000 in words is "one hundred twelve trillion, two hundred forty-five billion, four hundred five million, three hundred forty-four thousand".