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121122223217 is a prime number
BaseRepresentation
bin111000011001101110…
…0100111010001110001
3102120122012211110100022
41300303130213101301
53441024242120332
6131350501333225
711515343624132
oct1606334472161
9376565743308
10121122223217
1147405379026
121b583707215
13b563849388
145c103cbc89
15323d77b212
hex1c33727471

121122223217 has 2 divisors, whose sum is σ = 121122223218. Its totient is φ = 121122223216.

The previous prime is 121122223181. The next prime is 121122223219. The reversal of 121122223217 is 712322221121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121054589041 + 67634176 = 347929^2 + 8224^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122223217 - 218 = 121121961073 is a prime.

Together with 121122223219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (121122223219) 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, 60561111608 + 60561111609.

It is an arithmetic number, because the mean of its divisors is an integer number (60561111609).

Almost surely, 2121122223217 is an apocalyptic number.

It is an amenable number.

121122223217 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122223217 is an equidigital number, since it uses as much as digits as its factorization.

121122223217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 26.

Adding to 121122223217 its reverse (712322221121), we get a palindrome (833444444338).

The spelling of 121122223217 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-three thousand, two hundred seventeen".