12969534081024 has 960 divisors, whose sum is σ = 44000907350400. Its totient is φ = 3781163483136.

The previous prime is 12969534081011. The next prime is 12969534081067. The reversal of 12969534081024 is 42018043596921.

It is a happy number.

12969534081024 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 9 + 534 + 0 + 81 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2839834389 + ... + 2839838955.

It is an arithmetic number, because the mean of its divisors is an integer number (45834278490).

Almost surely, 2^{12969534081024} 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 12969534081024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22000453675200).

12969534081024 is an abundant number, since it is smaller than the sum of its proper divisors (31031373269376).

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

12969534081024 is a wasteful number, since it uses less digits than its factorization.

12969534081024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12969534081024 in words is "twelve trillion, nine hundred sixty-nine billion, five hundred thirty-four million, eighty-one thousand, twenty-four".