12442633624421 has 192 divisors, whose sum is σ = 17855905019904. Its totient is φ = 8370762048000.

The previous prime is 12442633624409. The next prime is 12442633624451.

12442633624421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12442633624421 - 2¹⁴ = 12442633608037 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442633624451) 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, 4439040206 + ... + 4439043008.

It is an arithmetic number, because the mean of its divisors is an integer number (92999505312).

Almost surely, 2^{12442633624421} is an apocalyptic number.

12442633624421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12442633624421 is a deficient number, since it is larger than the sum of its proper divisors (5413271395483).

12442633624421 is a wasteful number, since it uses less digits than its factorization.

12442633624421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3041 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

It can be divided in two parts, 1244263 and 3624421, that added together give a palindrome (4868684).

The spelling of 12442633624421 in words is "twelve trillion, four hundred forty-two billion, six hundred thirty-three million, six hundred twenty-four thousand, four hundred twenty-one".