12006687345 has 32 divisors (see below), whose sum is σ = 19863014400. Its totient is φ = 6186808320.

The previous prime is 12006687323. The next prime is 12006687349. The reversal of 12006687345 is 54378660021.

12006687345 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 12006687345 - 2¹⁷ = 12006556273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12006687297 and 12006687306.

It is not an unprimeable number, because it can be changed into a prime (12006687349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265981 + ... + 307829.

It is an arithmetic number, because the mean of its divisors is an integer number (620719200).

Almost surely, 2^12006687345 is an apocalyptic number.

12006687345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12006687345 is a deficient number, since it is larger than the sum of its proper divisors (7856327055).

12006687345 is a wasteful number, since it uses less digits than its factorization.

12006687345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42505.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 12006687345 in words is "twelve billion, six million, six hundred eighty-seven thousand, three hundred forty-five".