12331424305200 has 960 divisors, whose sum is σ = 53082924475392. Its totient is φ = 2363229388800.

The previous prime is 12331424305199. The next prime is 12331424305217. The reversal of 12331424305200 is 250342413321.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 191 ways as a sum of consecutive naturals, for example, 1649243862 + ... + 1649251338.

Almost surely, 2^{12331424305200} is an apocalyptic number.

12331424305200 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 12331424305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26541462237696).

12331424305200 is an abundant number, since it is smaller than the sum of its proper divisors (40751500170192).

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

12331424305200 is a wasteful number, since it uses less digits than its factorization.

12331424305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 12331424305200 its reverse (250342413321), we get a palindrome (12581766718521).

The spelling of 12331424305200 in words is "twelve trillion, three hundred thirty-one billion, four hundred twenty-four million, three hundred five thousand, two hundred".