12736813201 has 16 divisors (see below), whose sum is σ = 15207724800. Its totient is φ = 10429898688.

The previous prime is 12736813183. The next prime is 12736813207. The reversal of 12736813201 is 10231863721.

12736813201 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 12736813201 - 2⁵ = 12736813169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12736813207) 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 15 ways as a sum of consecutive naturals, for example, 85755 + ... + 181183.

It is an arithmetic number, because the mean of its divisors is an integer number (950482800).

Almost surely, 2^12736813201 is an apocalyptic number.

It is an amenable number.

12736813201 is a deficient number, since it is larger than the sum of its proper divisors (2470911599).

12736813201 is an equidigital number, since it uses as much as digits as its factorization.

12736813201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96288.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 12736813201 in words is "twelve billion, seven hundred thirty-six million, eight hundred thirteen thousand, two hundred one".