12958668801 has 24 divisors (see below), whose sum is σ = 20186489960. Its totient is φ = 7963266816.

The previous prime is 12958668799. The next prime is 12958668839. The reversal of 12958668801 is 10886685921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 480661776 + 12478007025 = 21924^2 + 111705^2 .

It is not a de Polignac number, because 12958668801 - 2¹ = 12958668799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12958668851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4845 + ... + 161061.

Almost surely, 2^12958668801 is an apocalyptic number.

It is an amenable number.

12958668801 is a deficient number, since it is larger than the sum of its proper divisors (7227821159).

12958668801 is a wasteful number, since it uses less digits than its factorization.

12958668801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156945 (or 156942 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 12958668801 in words is "twelve billion, nine hundred fifty-eight million, six hundred sixty-eight thousand, eight hundred one".