12230844321600 has 504 divisors, whose sum is σ = 43910487548928. Its totient is φ = 3228722380800.

The previous prime is 12230844321589. The next prime is 12230844321653. The reversal of 12230844321600 is 612344803221.

12230844321600 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 0 + 8 + 4 + 43 + 2 + 1 + 600 = 666.

12230844321600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 854042440 + ... + 854056760.

It is an arithmetic number, because the mean of its divisors is an integer number (87123983232).

Almost surely, 2^{12230844321600} is an apocalyptic number.

12230844321600 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 12230844321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21955243774464).

12230844321600 is an abundant number, since it is smaller than the sum of its proper divisors (31679643227328).

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

12230844321600 is a wasteful number, since it uses less digits than its factorization.

12230844321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14943 (or 14925 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12230844321600 in words is "twelve trillion, two hundred thirty billion, eight hundred forty-four million, three hundred twenty-one thousand, six hundred".