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122022122202221 is a prime number
BaseRepresentation
bin11011101111101001111101…
…001111111010010001101101
3121000001012102111110012022112
4123233221331033322101231
5111443202301240432341
61111304104501253405
734462543640253503
oct3357517517722155
9530035374405275
10122022122202221
1135975322966a4a
1211828855a04265
135311837c2b417
14221bc8b9d0673
15e1911e84eaeb
hex6efa7d3fa46d

122022122202221 has 2 divisors, whose sum is σ = 122022122202222. Its totient is φ = 122022122202220.

The previous prime is 122022122202181. The next prime is 122022122202259. The reversal of 122022122202221 is 122202221220221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101879852538025 + 20142269664196 = 10093555^2 + 4488014^2 .

It is a cyclic number.

It is not a de Polignac number, because 122022122202221 - 234 = 122004942333037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122022127202221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011061101110 + 61011061101111.

It is an arithmetic number, because the mean of its divisors is an integer number (61011061101111).

Almost surely, 2122022122202221 is an apocalyptic number.

It is an amenable number.

122022122202221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022122202221 is an equidigital number, since it uses as much as digits as its factorization.

122022122202221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 122022122202221 its reverse (122202221220221), we get a palindrome (244224343422442).

The spelling of 122022122202221 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred twenty-two million, two hundred two thousand, two hundred twenty-one".