12868347261105 has 240 divisors, whose sum is σ = 27848692080000. Its totient is φ = 5568043493376.

The previous prime is 12868347261083. The next prime is 12868347261167. The reversal of 12868347261105 is 50116274386821.

It is a happy number.

12868347261105 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 8 + 3 + 472 + 61 + 105 = 666.

It is not a de Polignac number, because 12868347261105 - 2¹³ = 12868347252913 is a prime.

It is a super-2 number, since 2×12868347261105² (a number of 27 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 1278265282 + ... + 1278275348.

It is an arithmetic number, because the mean of its divisors is an integer number (116036217000).

Almost surely, 2^{12868347261105} is an apocalyptic number.

12868347261105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12868347261105 is an abundant number, since it is smaller than the sum of its proper divisors (14980344818895).

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

12868347261105 is a wasteful number, since it uses less digits than its factorization.

12868347261105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11378 (or 11350 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12868347261105 in words is "twelve trillion, eight hundred sixty-eight billion, three hundred forty-seven million, two hundred sixty-one thousand, one hundred five".