12915321314000 has 320 divisors, whose sum is σ = 36932029056000. Its totient is φ = 4365725952000.

The previous prime is 12915321313967. The next prime is 12915321314023. The reversal of 12915321314000 is 41312351921.

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 63 ways as a sum of consecutive naturals, for example, 48573416 + ... + 48838584.

It is an arithmetic number, because the mean of its divisors is an integer number (115412590800).

Almost surely, 2^{12915321314000} is an apocalyptic number.

12915321314000 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 12915321314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466014528000).

12915321314000 is an abundant number, since it is smaller than the sum of its proper divisors (24016707742000).

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

12915321314000 is an equidigital number, since it uses as much as digits as its factorization.

12915321314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265284 (or 265254 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

Adding to 12915321314000 its reverse (41312351921), we get a palindrome (12956633665921).

The spelling of 12915321314000 in words is "twelve trillion, nine hundred fifteen billion, three hundred twenty-one million, three hundred fourteen thousand".