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122122212073 is a prime number
BaseRepresentation
bin111000110111100001…
…1010001001011101001
3102200012220111011011121
41301233003101023221
54000101241241243
6132034022455241
711552205450421
oct1615703211351
9380186434147
10122122212073
11478788944a4
121b802594521
13b692a81464
145ca7135481
15329b4591ed
hex1c6f0d12e9

122122212073 has 2 divisors, whose sum is σ = 122122212074. Its totient is φ = 122122212072.

The previous prime is 122122212071. The next prime is 122122212083. The reversal of 122122212073 is 370212221221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114317019664 + 7805192409 = 338108^2 + 88347^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122212073 - 21 = 122122212071 is a prime.

Together with 122122212071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122122212071) 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, 61061106036 + 61061106037.

It is an arithmetic number, because the mean of its divisors is an integer number (61061106037).

Almost surely, 2122122212073 is an apocalyptic number.

It is an amenable number.

122122212073 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122212073 is an equidigital number, since it uses as much as digits as its factorization.

122122212073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 122122212073 its reverse (370212221221), we get a palindrome (492334433294).

The spelling of 122122212073 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, seventy-three".