12722418120161 has 16 divisors (see below), whose sum is σ = 13209400706640. Its totient is φ = 12238659256320.

The previous prime is 12722418120127. The next prime is 12722418120289. The reversal of 12722418120161 is 16102181422721.

It can be written as a sum of positive squares in 8 ways, for example, as 2199407641600 + 10523010478561 = 1483040^2 + 3243919^2 .

It is a cyclic number.

It is not a de Polignac number, because 12722418120161 - 2¹⁰ = 12722418119137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12722418120961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185053985 + ... + 185122721.

It is an arithmetic number, because the mean of its divisors is an integer number (825587544165).

Almost surely, 2^{12722418120161} is an apocalyptic number.

It is an amenable number.

12722418120161 is a deficient number, since it is larger than the sum of its proper divisors (486982586479).

12722418120161 is a wasteful number, since it uses less digits than its factorization.

12722418120161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92084.

The product of its (nonzero) digits is 21504, while the sum is 38.

Adding to 12722418120161 its reverse (16102181422721), we get a palindrome (28824599542882).

The spelling of 12722418120161 in words is "twelve trillion, seven hundred twenty-two billion, four hundred eighteen million, one hundred twenty thousand, one hundred sixty-one".