12868130719935 has 192 divisors, whose sum is σ = 24751776890880. Its totient is φ = 6160971801600.

The previous prime is 12868130719921. The next prime is 12868130719937. The reversal of 12868130719935 is 53991703186821.

12868130719935 is a `hidden beast` number, since 1 + 286 + 8 + 1 + 307 + 19 + 9 + 35 = 666.

12868130719935 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 12868130719935 - 2⁴ = 12868130719919 is a prime.

It is a super-2 number, since 2×12868130719935² (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 (12868130719937) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1278243772 + ... + 1278253838.

It is an arithmetic number, because the mean of its divisors is an integer number (128915504640).

Almost surely, 2^{12868130719935} is an apocalyptic number.

12868130719935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12868130719935 is a deficient number, since it is larger than the sum of its proper divisors (11883646170945).

12868130719935 is a wasteful number, since it uses less digits than its factorization.

12868130719935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11318 (or 11315 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 12868130719935 in words is "twelve trillion, eight hundred sixty-eight billion, one hundred thirty million, seven hundred nineteen thousand, nine hundred thirty-five".