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12221222131 is a prime number
BaseRepresentation
bin10110110000111000…
…10000110011110011
31011112201101102001201
423120130100303303
5200012113102011
65340411112031
7611565450136
oct133034206363
934481342051
1012221222131
11520161a088
122450a42617
1311c9c3c5b1
1483d16621d
154b7dbccc1
hex2d8710cf3

12221222131 has 2 divisors, whose sum is σ = 12221222132. Its totient is φ = 12221222130.

The previous prime is 12221222129. The next prime is 12221222159. The reversal of 12221222131 is 13122212221.

12221222131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (13122212221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12221222131 - 21 = 12221222129 is a prime.

It is a super-2 number, since 2×122212221312 (a number of 21 digits) contains 22 as substring.

Together with 12221222129, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12221222099 and 12221222108.

It is not a weakly prime, because it can be changed into another prime (12221222171) 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, 6110611065 + 6110611066.

It is an arithmetic number, because the mean of its divisors is an integer number (6110611066).

Almost surely, 212221222131 is an apocalyptic number.

12221222131 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221222131 is an equidigital number, since it uses as much as digits as its factorization.

12221222131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 19.

Adding to 12221222131 its reverse (13122212221), we get a palindrome (25343434352).

The spelling of 12221222131 in words is "twelve billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred thirty-one".