12334333343321 has 12 divisors (see below), whose sum is σ = 13558626599700. Its totient is φ = 11212158925440.

The previous prime is 12334333343251. The next prime is 12334333343329.

12334333343321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2633220198400 + 9701113144921 = 1622720^2 + 3114661^2 .

It is not a de Polignac number, because 12334333343321 - 2²⁶ = 12334266234457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12334333343329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2394836 + ... + 5513973.

It is an arithmetic number, because the mean of its divisors is an integer number (1129885549975).

Almost surely, 2^{12334333343321} is an apocalyptic number.

12334333343321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12334333343321 is a deficient number, since it is larger than the sum of its proper divisors (1224293256379).

12334333343321 is a wasteful number, since it uses less digits than its factorization.

12334333343321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921720 (or 7921709 counting only the distinct ones).

The product of its digits is 419904, while the sum is 38.

It can be divided in two parts, 1233433 and 3343321, that added together give a palindrome (4576754).

The spelling of 12334333343321 in words is "twelve trillion, three hundred thirty-four billion, three hundred thirty-three million, three hundred forty-three thousand, three hundred twenty-one".