112205344000 has 288 divisors, whose sum is σ = 285399223200. Its totient is φ = 43950080000.

The previous prime is 112205343989. The next prime is 112205344021. The reversal of 112205344000 is 443502211.

It can be written as a sum of positive squares in 16 ways, for example, as 87483442176 + 24721901824 = 295776^2 + 157232^2 .

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 481567884 + ... + 481568116.

It is an arithmetic number, because the mean of its divisors is an integer number (990969525).

Almost surely, 2^112205344000 is an apocalyptic number.

112205344000 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 112205344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142699611600).

112205344000 is an abundant number, since it is smaller than the sum of its proper divisors (173193879200).

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

112205344000 is a wasteful number, since it uses less digits than its factorization.

112205344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 112205344000 its reverse (443502211), we get a palindrome (112648846211).

The spelling of 112205344000 in words is "one hundred twelve billion, two hundred five million, three hundred forty-four thousand".