12015368744085 has 96 divisors (see below), whose sum is σ = 24358177628928. Its totient is φ = 5364391173120.

The previous prime is 12015368744059. The next prime is 12015368744149. The reversal of 12015368744085 is 58044786351021.

It is a happy number.

12015368744085 is a `hidden beast` number, since 1 + 2 + 0 + 15 + 36 + 87 + 440 + 85 = 666.

It is not a de Polignac number, because 12015368744085 - 2⁷ = 12015368743957 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 131625319 + ... + 131716571.

It is an arithmetic number, because the mean of its divisors is an integer number (253731016968).

Almost surely, 2^{12015368744085} is an apocalyptic number.

12015368744085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12015368744085 is an abundant number, since it is smaller than the sum of its proper divisors (12342808884843).

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

12015368744085 is a wasteful number, since it uses less digits than its factorization.

12015368744085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101035 (or 101032 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 12015368744085 in words is "twelve trillion, fifteen billion, three hundred sixty-eight million, seven hundred forty-four thousand, eighty-five".