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12121112197 is a prime number
BaseRepresentation
bin10110100100111100…
…10111111010000101
31011021202000022001101
423102132113322011
5144311001042242
65322433300101
7606241516345
oct132236277205
934252008041
1012121112197
115160062aa7
122423404631
1311b228aa4c
1482db46d25
154ae1e59b7
hex2d2797e85

12121112197 has 2 divisors, whose sum is σ = 12121112198. Its totient is φ = 12121112196.

The previous prime is 12121112167. The next prime is 12121112207. The reversal of 12121112197 is 79121112121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12110782401 + 10329796 = 110049^2 + 3214^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121112197 - 231 = 9973628549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121112167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060556098 + 6060556099.

It is an arithmetic number, because the mean of its divisors is an integer number (6060556099).

Almost surely, 212121112197 is an apocalyptic number.

It is an amenable number.

12121112197 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121112197 is an equidigital number, since it uses as much as digits as its factorization.

12121112197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 28.

The spelling of 12121112197 in words is "twelve billion, one hundred twenty-one million, one hundred twelve thousand, one hundred ninety-seven".