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12211122111197 is a prime number
BaseRepresentation
bin1011000110110001111110…
…0110001000001011011101
31121020101001002120120121012
42301230133212020023131
53100031334230024242
641545413445345005
72400136663235462
oct261543746101335
947211032516535
1012211122111197
1139887870a7839
121452720108165
136a767201c239
14303042c79669
1516298ca05282
hexb1b1f9882dd

12211122111197 has 2 divisors, whose sum is σ = 12211122111198. Its totient is φ = 12211122111196.

The previous prime is 12211122111059. The next prime is 12211122111241. The reversal of 12211122111197 is 79111122111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9251659055716 + 2959463055481 = 3041654^2 + 1720309^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211122111197 - 238 = 11936244204253 is a prime.

It is a super-2 number, since 2×122111221111972 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211122711197) 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, 6105561055598 + 6105561055599.

It is an arithmetic number, because the mean of its divisors is an integer number (6105561055599).

Almost surely, 212211122111197 is an apocalyptic number.

It is an amenable number.

12211122111197 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211122111197 is an equidigital number, since it uses as much as digits as its factorization.

12211122111197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 32.

The spelling of 12211122111197 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred ninety-seven".