12978063306336 has 96 divisors (see below), whose sum is σ = 36609760978560. Its totient is φ = 4010779846656.

The previous prime is 12978063306301. The next prime is 12978063306337. The reversal of 12978063306336 is 63360336087921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12978063306337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59235766 + ... + 59454453.

It is an arithmetic number, because the mean of its divisors is an integer number (381351676860).

Almost surely, 2^{12978063306336} is an apocalyptic number.

12978063306336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12978063306336 is an abundant number, since it is smaller than the sum of its proper divisors (23631697672224).

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

12978063306336 is a wasteful number, since it uses less digits than its factorization.

12978063306336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118690316 (or 118690308 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 57.

The spelling of 12978063306336 in words is "twelve trillion, nine hundred seventy-eight billion, sixty-three million, three hundred six thousand, three hundred thirty-six".