12135405964 has 48 divisors (see below), whose sum is σ = 23518978560. Its totient is φ = 5432915840.

The previous prime is 12135405959. The next prime is 12135405983. The reversal of 12135405964 is 46950453121.

12135405964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12135405964² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1024017 + ... + 1035799.

It is an arithmetic number, because the mean of its divisors is an integer number (489978720).

Almost surely, 2^12135405964 is an apocalyptic number.

It is an amenable number.

12135405964 is a deficient number, since it is larger than the sum of its proper divisors (11383572596).

12135405964 is a wasteful number, since it uses less digits than its factorization.

12135405964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12150 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 12135405964 in words is "twelve billion, one hundred thirty-five million, four hundred five thousand, nine hundred sixty-four".