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212120211222209 is a prime number
BaseRepresentation
bin110000001110110000010101…
…110101101110111011000001
31000211001111100020022222021002
4300032300111311232323001
5210300334143033102314
62031050402455141345
762452115402006603
oct6016602565567301
91024044306288232
10212120211222209
11616517492aa684
121b95a399674855
139148b0884c084
143a5495ca0d173
15197cb00789ade
hexc0ec15d6eec1

212120211222209 has 2 divisors, whose sum is σ = 212120211222210. Its totient is φ = 212120211222208.

The previous prime is 212120211222097. The next prime is 212120211222253. The reversal of 212120211222209 is 902222112021212.

212120211222209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209672716806400 + 2447494415809 = 14480080^2 + 1564447^2 .

It is a cyclic number.

It is not a de Polignac number, because 212120211222209 - 220 = 212120210173633 is a prime.

It is not a weakly prime, because it can be changed into another prime (212120211228209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060105611104 + 106060105611105.

It is an arithmetic number, because the mean of its divisors is an integer number (106060105611105).

Almost surely, 2212120211222209 is an apocalyptic number.

It is an amenable number.

212120211222209 is a deficient number, since it is larger than the sum of its proper divisors (1).

212120211222209 is an equidigital number, since it uses as much as digits as its factorization.

212120211222209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 212120211222209 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-two thousand, two hundred nine".