12121112323321 has 16 divisors (see below), whose sum is σ = 12261592137168. Its totient is φ = 11981397196800.

The previous prime is 12121112323273. The next prime is 12121112323337. The reversal of 12121112323321 is 12332321112121.

It can be written as a sum of positive squares in 8 ways, for example, as 365396070400 + 11755716252921 = 604480^2 + 3428661^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121112323321 - 2⁷ = 12121112323193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12121112323121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463314481 + ... + 463340641.

It is an arithmetic number, because the mean of its divisors is an integer number (766349508573).

Almost surely, 2^{12121112323321} is an apocalyptic number.

It is an amenable number.

12121112323321 is a deficient number, since it is larger than the sum of its proper divisors (140479813847).

12121112323321 is a wasteful number, since it uses less digits than its factorization.

12121112323321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40572.

The product of its digits is 864, while the sum is 25.

Adding to 12121112323321 its reverse (12332321112121), we get a palindrome (24453433435442).

The spelling of 12121112323321 in words is "twelve trillion, one hundred twenty-one billion, one hundred twelve million, three hundred twenty-three thousand, three hundred twenty-one".