12901185787728 has 120 divisors (see below), whose sum is σ = 38770464260640. Its totient is φ = 3685949971200.

The previous prime is 12901185787717. The next prime is 12901185787729. The reversal of 12901185787728 is 82778758110921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12901185787729) 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 23 ways as a sum of consecutive naturals, for example, 133312383 + ... + 133409121.

It is an arithmetic number, because the mean of its divisors is an integer number (323087202172).

Almost surely, 2^{12901185787728} is an apocalyptic number.

It is an amenable number.

12901185787728 is an abundant number, since it is smaller than the sum of its proper divisors (25869278472912).

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

12901185787728 is a wasteful number, since it uses less digits than its factorization.

12901185787728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153465 (or 153452 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 66.

The spelling of 12901185787728 in words is "twelve trillion, nine hundred one billion, one hundred eighty-five million, seven hundred eighty-seven thousand, seven hundred twenty-eight".