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122220122261 is a prime number
BaseRepresentation
bin111000111010011100…
…0110001000010010101
3102200110201201111200212
41301310320301002111
54000301322403021
6132051441215205
711554504620026
oct1616470610225
9380421644625
10122220122261
1147919088906
121b82b331505
13b6aa142993
145cb6140c4d
1532a4d4985b
hex1c74e31095

122220122261 has 2 divisors, whose sum is σ = 122220122262. Its totient is φ = 122220122260.

The previous prime is 122220122203. The next prime is 122220122267. The reversal of 122220122261 is 162221022221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118263083236 + 3957039025 = 343894^2 + 62905^2 .

It is a cyclic number.

It is not a de Polignac number, because 122220122261 - 218 = 122219860117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122220122267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110061130 + 61110061131.

It is an arithmetic number, because the mean of its divisors is an integer number (61110061131).

Almost surely, 2122220122261 is an apocalyptic number.

It is an amenable number.

122220122261 is a deficient number, since it is larger than the sum of its proper divisors (1).

122220122261 is an equidigital number, since it uses as much as digits as its factorization.

122220122261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 122220122261 its reverse (162221022221), we get a palindrome (284441144482).

The spelling of 122220122261 in words is "one hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, two hundred sixty-one".