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12221212301 is a prime number
BaseRepresentation
bin10110110000111000…
…01110011010001101
31011112201100220120122
423120130032122031
5200012112243201
65340410554325
7611565406364
oct133034163215
934481326518
1012221212301
115201612761
122450a389a5
1311c9c37c8c
1483d1627db
154b7db9e1b
hex2d870e68d

12221212301 has 2 divisors, whose sum is σ = 12221212302. Its totient is φ = 12221212300.

The previous prime is 12221212279. The next prime is 12221212303. The reversal of 12221212301 is 10321212221.

12221212301 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., 11691015625 + 530196676 = 108125^2 + 23026^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221212301 is a prime.

It is a super-2 number, since 2×122212123012 (a number of 21 digits) contains 22 as substring.

Together with 12221212303, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12221212301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221212303) 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, 6110606150 + 6110606151.

It is an arithmetic number, because the mean of its divisors is an integer number (6110606151).

Almost surely, 212221212301 is an apocalyptic number.

It is an amenable number.

12221212301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221212301 is an equidigital number, since it uses as much as digits as its factorization.

12221212301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12221212301 its reverse (10321212221), we get a palindrome (22542424522).

The spelling of 12221212301 in words is "twelve billion, two hundred twenty-one million, two hundred twelve thousand, three hundred one".