12640335201 has 20 divisors (see below), whose sum is σ = 20334975892. Its totient is φ = 7778667168.

The previous prime is 12640335199. The next prime is 12640335209. The reversal of 12640335201 is 10253304621.

12640335201 is a `hidden beast` number, since 1 + 26 + 403 + 35 + 201 = 666.

12640335201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1673219025 + 10967116176 = 40905^2 + 104724^2 .

It is not a de Polignac number, because 12640335201 - 2¹ = 12640335199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12640335209) 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 19 ways as a sum of consecutive naturals, for example, 6001006 + ... + 6003111.

Almost surely, 2^12640335201 is an apocalyptic number.

It is an amenable number.

12640335201 is a deficient number, since it is larger than the sum of its proper divisors (7694640691).

12640335201 is a wasteful number, since it uses less digits than its factorization.

12640335201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004142 (or 12004133 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12640335201 its reverse (10253304621), we get a palindrome (22893639822).

It can be divided in two parts, 126403 and 35201, that added together give a square (161604 = 402²).

The spelling of 12640335201 in words is "twelve billion, six hundred forty million, three hundred thirty-five thousand, two hundred one".