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12222120041 is a prime number
BaseRepresentation
bin10110110000111111…
…01100000001101001
31011112210002000202122
423120133230001221
5200012330320131
65340442241025
7611606210015
oct133037540151
934483060678
1012222120041
11520208275a
1224511b6175
1311ca1951c1
1483d31b545
154b7ee8d7b
hex2d87ec069

12222120041 has 2 divisors, whose sum is σ = 12222120042. Its totient is φ = 12222120040.

The previous prime is 12222120023. The next prime is 12222120059. The reversal of 12222120041 is 14002122221.

12222120041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12222120023) and next prime (12222120059).

It can be written as a sum of positive squares in only one way, i.e., 11746007641 + 476112400 = 108379^2 + 21820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12222120041 is a prime.

It is a super-2 number, since 2×122221200412 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12222120241) 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, 6111060020 + 6111060021.

It is an arithmetic number, because the mean of its divisors is an integer number (6111060021).

Almost surely, 212222120041 is an apocalyptic number.

It is an amenable number.

12222120041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222120041 is an equidigital number, since it uses as much as digits as its factorization.

12222120041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12222120041 its reverse (14002122221), we get a palindrome (26224242262).

The spelling of 12222120041 in words is "twelve billion, two hundred twenty-two million, one hundred twenty thousand, forty-one".