12005135685 has 64 divisors (see below), whose sum is σ = 21695040000. Its totient is φ = 6297730560.

The previous prime is 12005135677. The next prime is 12005135719. The reversal of 12005135685 is 58653150021.

It is a happy number.

12005135685 is a `hidden beast` number, since 12 + 0 + 0 + 513 + 56 + 85 = 666.

It is not a de Polignac number, because 12005135685 - 2³ = 12005135677 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2388475 + ... + 2393495.

It is an arithmetic number, because the mean of its divisors is an integer number (338985000).

Almost surely, 2^12005135685 is an apocalyptic number.

12005135685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12005135685 is a deficient number, since it is larger than the sum of its proper divisors (9689904315).

12005135685 is a wasteful number, since it uses less digits than its factorization.

12005135685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 12005135685 in words is "twelve billion, five million, one hundred thirty-five thousand, six hundred eighty-five".