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12222848201 is a prime number
BaseRepresentation
bin10110110001000100…
…11101110011001001
31011112211110000121112
423120202131303021
5200013022120301
65340510020105
7611615331644
oct133042356311
934484400545
1012222848201
11520252a843
1224514a7635
1311ca38b775
1483d46aa5b
154b80de9bb
hex2d889dcc9

12222848201 has 2 divisors, whose sum is σ = 12222848202. Its totient is φ = 12222848200.

The previous prime is 12222848179. The next prime is 12222848203. The reversal of 12222848201 is 10284822221.

12222848201 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., 11401968400 + 820879801 = 106780^2 + 28651^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12222848201 is a prime.

Together with 12222848203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12222848203) 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, 6111424100 + 6111424101.

It is an arithmetic number, because the mean of its divisors is an integer number (6111424101).

Almost surely, 212222848201 is an apocalyptic number.

It is an amenable number.

12222848201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222848201 is an equidigital number, since it uses as much as digits as its factorization.

12222848201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 12222848201 in words is "twelve billion, two hundred twenty-two million, eight hundred forty-eight thousand, two hundred one".