112051241224000 has 168 divisors, whose sum is σ = 300482645620248. Its totient is φ = 41372765491200.

The previous prime is 112051241223983. The next prime is 112051241224019. The reversal of 112051241224000 is 422142150211.

It can be written as a sum of positive squares in 12 ways, for example, as 111848222492224 + 203018731776 = 10575832^2 + 450576^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40087069 + ... + 42791068.

It is an arithmetic number, because the mean of its divisors is an integer number (1788587176311).

Almost surely, 2^{112051241224000} is an apocalyptic number.

112051241224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112051241224000 is an abundant number, since it is smaller than the sum of its proper divisors (188431404396248).

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

112051241224000 is an equidigital number, since it uses as much as digits as its factorization.

112051241224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82878190 (or 82878157 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 112051241224000 its reverse (422142150211), we get a palindrome (112473383374211).

The spelling of 112051241224000 in words is "one hundred twelve trillion, fifty-one billion, two hundred forty-one million, two hundred twenty-four thousand".