12205121132633 has 16 divisors (see below), whose sum is σ = 14342554274496. Its totient is φ = 10239437759040.

The previous prime is 12205121132609. The next prime is 12205121132641. The reversal of 12205121132633 is 33623112150221.

It is a cyclic number.

It is not a de Polignac number, because 12205121132633 - 2⁸ = 12205121132377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12205121132633.

It is not an unprimeable number, because it can be changed into a prime (12205121132033) 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, 10364066 + ... + 11481467.

It is an arithmetic number, because the mean of its divisors is an integer number (896409642156).

Almost surely, 2^{12205121132633} is an apocalyptic number.

12205121132633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12205121132633 is a deficient number, since it is larger than the sum of its proper divisors (2137433141863).

12205121132633 is a wasteful number, since it uses less digits than its factorization.

12205121132633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21849464.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 12205121132633 its reverse (33623112150221), we get a palindrome (45828233282854).

The spelling of 12205121132633 in words is "twelve trillion, two hundred five billion, one hundred twenty-one million, one hundred thirty-two thousand, six hundred thirty-three".