12334144143321 has 96 divisors (see below), whose sum is σ = 24109119111168. Its totient is φ = 5867903502720.

The previous prime is 12334144143319. The next prime is 12334144143359.

12334144143321 is a `hidden beast` number, since 1 + 23 + 34 + 144 + 143 + 321 = 666.

12334144143321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12334144143321 - 2¹ = 12334144143319 is a prime.

It is a super-2 number, since 2×12334144143321² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12334144142321) 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, 4245981 + ... + 6534266.

It is an arithmetic number, because the mean of its divisors is an integer number (251136657408).

Almost surely, 2^{12334144143321} is an apocalyptic number.

12334144143321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12334144143321 is a deficient number, since it is larger than the sum of its proper divisors (11774974967847).

12334144143321 is a wasteful number, since it uses less digits than its factorization.

12334144143321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780411 (or 10780408 counting only the distinct ones).

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

It can be divided in two parts, 1233414 and 4143321, that added together give a palindrome (5376735).

The spelling of 12334144143321 in words is "twelve trillion, three hundred thirty-four billion, one hundred forty-four million, one hundred forty-three thousand, three hundred twenty-one".