Search a number
-
+
122212011137 is a prime number
BaseRepresentation
bin111000111010001100…
…1110100110010000001
3102200110011110102022212
41301310121310302001
54000242233324022
6132050551311505
711554345645316
oct1616431646201
9380404412285
10122212011137
11479145488a7
121b82867b595
13b6a8562ab8
145cb502cd0d
1532a42963e2
hex1c74674c81

122212011137 has 2 divisors, whose sum is σ = 122212011138. Its totient is φ = 122212011136.

The previous prime is 122212011113. The next prime is 122212011151. The reversal of 122212011137 is 731110212221.

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., 79014961216 + 43197049921 = 281096^2 + 207839^2 .

It is a cyclic number.

It is not a de Polignac number, because 122212011137 - 212 = 122212007041 is a prime.

It is not a weakly prime, because it can be changed into another prime (122212011737) 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, 61106005568 + 61106005569.

It is an arithmetic number, because the mean of its divisors is an integer number (61106005569).

Almost surely, 2122212011137 is an apocalyptic number.

It is an amenable number.

122212011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212011137 is an equidigital number, since it uses as much as digits as its factorization.

122212011137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 122212011137 its reverse (731110212221), we get a palindrome (853322223358).

The spelling of 122212011137 in words is "one hundred twenty-two billion, two hundred twelve million, eleven thousand, one hundred thirty-seven".