Search a number
-
+
122212110001 is a prime number
BaseRepresentation
bin111000111010001101…
…0001100111010110001
3102200110011122102221111
41301310122030322301
54000242300010001
6132050553353321
711554346536462
oct1616432147261
9380404572844
10122212110001
1147914606103
121b828708841
13b6a8598ab7
145cb5056d69
1532a42b5851
hex1c7468ceb1

122212110001 has 2 divisors, whose sum is σ = 122212110002. Its totient is φ = 122212110000.

The previous prime is 122212109969. The next prime is 122212110017. The reversal of 122212110001 is 100011212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93159248400 + 29052861601 = 305220^2 + 170449^2 .

It is a cyclic number.

It is not a de Polignac number, because 122212110001 - 25 = 122212109969 is a prime.

It is not a weakly prime, because it can be changed into another prime (122212110091) 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, 61106055000 + 61106055001.

It is an arithmetic number, because the mean of its divisors is an integer number (61106055001).

Almost surely, 2122212110001 is an apocalyptic number.

It is an amenable number.

122212110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212110001 is an equidigital number, since it uses as much as digits as its factorization.

122212110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122212110001 its reverse (100011212221), we get a palindrome (222223322222).

The spelling of 122212110001 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, one".