12768303127701 has 32 divisors (see below), whose sum is σ = 18651091599360. Its totient is φ = 7705447444800.

The previous prime is 12768303127669. The next prime is 12768303127753. The reversal of 12768303127701 is 10772130386721.

12768303127701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12768303127701 - 2⁵ = 12768303127669 is a prime.

It is a super-2 number, since 2×12768303127701² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768303127771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131987916 + ... + 132084618.

It is an arithmetic number, because the mean of its divisors is an integer number (582846612480).

Almost surely, 2^{12768303127701} is an apocalyptic number.

12768303127701 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12768303127701 is a deficient number, since it is larger than the sum of its proper divisors (5882788471659).

12768303127701 is a wasteful number, since it uses less digits than its factorization.

12768303127701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113697.

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 12768303127701 in words is "twelve trillion, seven hundred sixty-eight billion, three hundred three million, one hundred twenty-seven thousand, seven hundred one".