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12332012321 is a prime number
BaseRepresentation
bin10110111110000101…
…11001001100100001
31011211102212010122002
423133002321030201
5200223443343241
65355405453345
7614412242456
oct133702711441
934742763562
1012332012321
115259110422
122481b71255
131216b90515
1484db6582d
154c29a489b
hex2df0b9321

12332012321 has 2 divisors, whose sum is σ = 12332012322. Its totient is φ = 12332012320.

The previous prime is 12332012311. The next prime is 12332012323. The reversal of 12332012321 is 12321023321.

12332012321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6603187600 + 5728824721 = 81260^2 + 75689^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12332012321 is a prime.

Together with 12332012323, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12332012293 and 12332012302.

It is not a weakly prime, because it can be changed into another prime (12332012323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6166006160 + 6166006161.

It is an arithmetic number, because the mean of its divisors is an integer number (6166006161).

Almost surely, 212332012321 is an apocalyptic number.

It is an amenable number.

12332012321 is a deficient number, since it is larger than the sum of its proper divisors (1).

12332012321 is an equidigital number, since it uses as much as digits as its factorization.

12332012321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12332012321 its reverse (12321023321), we get a palindrome (24653035642).

The spelling of 12332012321 in words is "twelve billion, three hundred thirty-two million, twelve thousand, three hundred twenty-one".