12255034634657 has 2 divisors, whose sum is σ = 12255034634658. Its totient is φ = 12255034634656.

The previous prime is 12255034634629. The next prime is 12255034634671. The reversal of 12255034634657 is 75643643055221.

12255034634657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7835470254481 + 4419564380176 = 2799191^2 + 2102276^2 .

It is a cyclic number.

It is not a de Polignac number, because 12255034634657 - 2¹⁸ = 12255034372513 is a prime.

It is a super-3 number, since 3×12255034634657³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12255034634599 and 12255034634608.

It is not a weakly prime, because it can be changed into another prime (12255034634627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6127517317328 + 6127517317329.

It is an arithmetic number, because the mean of its divisors is an integer number (6127517317329).

Almost surely, 2^{12255034634657} is an apocalyptic number.

It is an amenable number.

12255034634657 is a deficient number, since it is larger than the sum of its proper divisors (1).

12255034634657 is an equidigital number, since it uses as much as digits as its factorization.

12255034634657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144000, while the sum is 53.

Adding to 12255034634657 its reverse (75643643055221), we get a palindrome (87898677689878).

The spelling of 12255034634657 in words is "twelve trillion, two hundred fifty-five billion, thirty-four million, six hundred thirty-four thousand, six hundred fifty-seven".