Search a number
-
+
122212020121 is a prime number
BaseRepresentation
bin111000111010001100…
…1110110111110011001
3102200110011110212122121
41301310121312332121
54000242234120441
6132050551421241
711554346013442
oct1616431667631
9380404425577
10122212020121
1147914554624
121b828684821
13b6a8566c09
145cb50322c9
1532a4298dd1
hex1c74676f99

122212020121 has 2 divisors, whose sum is σ = 122212020122. Its totient is φ = 122212020120.

The previous prime is 122212020107. The next prime is 122212020131. The reversal of 122212020121 is 121020212221.

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., 113696421721 + 8515598400 = 337189^2 + 92280^2 .

It is a cyclic number.

It is not a de Polignac number, because 122212020121 - 227 = 122077802393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122212020095 and 122212020104.

It is not a weakly prime, because it can be changed into another prime (122212020131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106010060 + 61106010061.

It is an arithmetic number, because the mean of its divisors is an integer number (61106010061).

Almost surely, 2122212020121 is an apocalyptic number.

It is an amenable number.

122212020121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212020121 is an equidigital number, since it uses as much as digits as its factorization.

122212020121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122212020121 its reverse (121020212221), we get a palindrome (243232232342).

The spelling of 122212020121 in words is "one hundred twenty-two billion, two hundred twelve million, twenty thousand, one hundred twenty-one".