Search a number
-
+
122210221121 is a prime number
BaseRepresentation
bin111000111010001001…
…0111111110001000001
3102200110001002110212222
41301310102333301001
54000241304033441
6132050445100425
711554324511522
oct1616422776101
9380401073788
10122210221121
1147913535a4a
121b827b57715
13b6a8087111
145cb4ac4849
1532a4040d4b
hex1c744bfc41

122210221121 has 2 divisors, whose sum is σ = 122210221122. Its totient is φ = 122210221120.

The previous prime is 122210221109. The next prime is 122210221151. The reversal of 122210221121 is 121122012221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115626521521 + 6583699600 = 340039^2 + 81140^2 .

It is a cyclic number.

It is not a de Polignac number, because 122210221121 - 214 = 122210204737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122210221121.

It is not a weakly prime, because it can be changed into another prime (122210221151) 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, 61105110560 + 61105110561.

It is an arithmetic number, because the mean of its divisors is an integer number (61105110561).

Almost surely, 2122210221121 is an apocalyptic number.

It is an amenable number.

122210221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210221121 is an equidigital number, since it uses as much as digits as its factorization.

122210221121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122210221121 its reverse (121122012221), we get a palindrome (243332233342).

The spelling of 122210221121 in words is "one hundred twenty-two billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty-one".