12324004312064 has 176 divisors, whose sum is σ = 25162025318400. Its totient is φ = 6032284876800.

The previous prime is 12324004312027. The next prime is 12324004312093. The reversal of 12324004312064 is 46021340042321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12324004312064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3042210839 + ... + 3042214889.

Almost surely, 2^{12324004312064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12324004312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12581012659200).

12324004312064 is an abundant number, since it is smaller than the sum of its proper divisors (12838021006336).

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

12324004312064 is a wasteful number, since it uses less digits than its factorization.

12324004312064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 12324004312064 its reverse (46021340042321), we get a palindrome (58345344354385).

The spelling of 12324004312064 in words is "twelve trillion, three hundred twenty-four billion, four million, three hundred twelve thousand, sixty-four".