12642033024621 has 192 divisors, whose sum is σ = 25378884550656. Its totient is φ = 5851810137600.

The previous prime is 12642033024619. The next prime is 12642033024659.

12642033024621 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 0 + 3 + 3 + 0 + 24 + 621 = 666.

12642033024621 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12642033024621 - 2¹ = 12642033024619 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642033024611) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42183976 + ... + 42482606.

It is an arithmetic number, because the mean of its divisors is an integer number (132181690368).

Almost surely, 2^{12642033024621} is an apocalyptic number.

12642033024621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12642033024621 is an abundant number, since it is smaller than the sum of its proper divisors (12736851526035).

12642033024621 is a wasteful number, since it uses less digits than its factorization.

12642033024621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298832 (or 298829 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 1264203 and 3024621, that added together give a palindrome (4288824).

The spelling of 12642033024621 in words is "twelve trillion, six hundred forty-two billion, thirty-three million, twenty-four thousand, six hundred twenty-one".