12264534164201 has 12 divisors (see below), whose sum is σ = 13481134455600. Its totient is φ = 11149342574040.

The previous prime is 12264534164189. The next prime is 12264534164203. The reversal of 12264534164201 is 10246143546221.

It is not a de Polignac number, because 12264534164201 - 2¹⁰ = 12264534163177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12264534164203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4863290 + ... + 6941228.

It is an arithmetic number, because the mean of its divisors is an integer number (1123427871300).

Almost surely, 2^{12264534164201} is an apocalyptic number.

12264534164201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12264534164201 is a deficient number, since it is larger than the sum of its proper divisors (1216600291399).

12264534164201 is a wasteful number, since it uses less digits than its factorization.

12264534164201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126740 (or 2126729 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 12264534164201 in words is "twelve trillion, two hundred sixty-four billion, five hundred thirty-four million, one hundred sixty-four thousand, two hundred one".