12412324000 has 192 divisors, whose sum is σ = 31497403392. Its totient is φ = 4804608000.

The previous prime is 12412323983. The next prime is 12412324013. The reversal of 12412324000 is 42321421.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19363680 + ... + 19364320.

It is an arithmetic number, because the mean of its divisors is an integer number (164048976).

Almost surely, 2^12412324000 is an apocalyptic number.

12412324000 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 12412324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748701696).

12412324000 is an abundant number, since it is smaller than the sum of its proper divisors (19085079392).

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

12412324000 is a wasteful number, since it uses less digits than its factorization.

12412324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12412324000 its reverse (42321421), we get a palindrome (12454645421).

The spelling of 12412324000 in words is "twelve billion, four hundred twelve million, three hundred twenty-four thousand".