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122122009973 is a prime number
BaseRepresentation
bin111000110111100001…
…0011111110101110101
3102200012220002212221102
41301233002133311311
54000101213304343
6132034014255445
711552203646255
oct1615702376565
9380186085842
10122122009973
1147878766677
121b8024b7585
13b692a10482
145ca70c1965
15329b4193b8
hex1c6f09fd75

122122009973 has 2 divisors, whose sum is σ = 122122009974. Its totient is φ = 122122009972.

The previous prime is 122122009871. The next prime is 122122009979. The reversal of 122122009973 is 379900221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105023309329 + 17098700644 = 324073^2 + 130762^2 .

It is an emirp because it is prime and its reverse (379900221221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122122009973 - 214 = 122121993589 is a prime.

It is a super-2 number, since 2×1221220099732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122009979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061004986 + 61061004987.

It is an arithmetic number, because the mean of its divisors is an integer number (61061004987).

Almost surely, 2122122009973 is an apocalyptic number.

It is an amenable number.

122122009973 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122009973 is an equidigital number, since it uses as much as digits as its factorization.

122122009973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 122122009973 in words is "one hundred twenty-two billion, one hundred twenty-two million, nine thousand, nine hundred seventy-three".