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122122112209 is a prime number
BaseRepresentation
bin111000110111100001…
…0111000110011010001
3102200012220022002011221
41301233002320303101
54000101230042314
6132034020405041
711552204553316
oct1615702706321
9380186262157
10122122112209
1147878826469
121b802546781
13b692a47b76
145ca710ad0d
15329b439824
hex1c6f0b8cd1

122122112209 has 2 divisors, whose sum is σ = 122122112210. Its totient is φ = 122122112208.

The previous prime is 122122112207. The next prime is 122122112227. The reversal of 122122112209 is 902211221221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113520477184 + 8601635025 = 336928^2 + 92745^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122112209 - 21 = 122122112207 is a prime.

Together with 122122112207, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122122112201) 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, 61061056104 + 61061056105.

It is an arithmetic number, because the mean of its divisors is an integer number (61061056105).

Almost surely, 2122122112209 is an apocalyptic number.

It is an amenable number.

122122112209 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122112209 is an equidigital number, since it uses as much as digits as its factorization.

122122112209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 122122112209 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred nine".