12334411443321 has 96 divisors (see below), whose sum is σ = 20943678712320. Its totient is φ = 6912058406400.

The previous prime is 12334411443281. The next prime is 12334411443337.

12334411443321 is a `hidden beast` number, since 1 + 23 + 3 + 441 + 144 + 33 + 21 = 666.

12334411443321 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-12334411443321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12334411443371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24757686 + ... + 25250976.

It is an arithmetic number, because the mean of its divisors is an integer number (218163319920).

Almost surely, 2^{12334411443321} is an apocalyptic number.

12334411443321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12334411443321 is a deficient number, since it is larger than the sum of its proper divisors (8609267268999).

12334411443321 is a wasteful number, since it uses less digits than its factorization.

12334411443321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493587 (or 493584 counting only the distinct ones).

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

It can be divided in two parts, 1233441 and 1443321, that added together give a palindrome (2676762).

The spelling of 12334411443321 in words is "twelve trillion, three hundred thirty-four billion, four hundred eleven million, four hundred forty-three thousand, three hundred twenty-one".