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12211122097 is a prime number
BaseRepresentation
bin10110101111101011…
…01110111110110001
31011112000101021102101
423113311232332301
5200002021401342
65335410420401
7611413553026
oct132765567661
934460337371
1012211122097
1151a6950849
122449591701
1311c7b14345
1483ba9754d
154b70753b7
hex2d7d6efb1

12211122097 has 2 divisors, whose sum is σ = 12211122098. Its totient is φ = 12211122096.

The previous prime is 12211122059. The next prime is 12211122101. The reversal of 12211122097 is 79022111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9784968561 + 2426153536 = 98919^2 + 49256^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211122097 is a prime.

It is a super-2 number, since 2×122111220972 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211122047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105561048 + 6105561049.

It is an arithmetic number, because the mean of its divisors is an integer number (6105561049).

Almost surely, 212211122097 is an apocalyptic number.

It is an amenable number.

12211122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211122097 is an equidigital number, since it uses as much as digits as its factorization.

12211122097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The spelling of 12211122097 in words is "twelve billion, two hundred eleven million, one hundred twenty-two thousand, ninety-seven".