122112209993 has 2 divisors, whose sum is σ = 122112209994. Its totient is φ = 122112209992.

The previous prime is 122112209981. The next prime is 122112210007. The reversal of 122112209993 is 399902211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122002106944 + 110103049 = 349288^2 + 10493^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112209993 - 2⁶ = 122112209929 is a prime.

It is a super-2 number, since 2×122112209993² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122112209993.

It is not a weakly prime, because it can be changed into another prime (122112209953) 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, 61056104996 + 61056104997.

It is an arithmetic number, because the mean of its divisors is an integer number (61056104997).

Almost surely, 2^122112209993 is an apocalyptic number.

It is an amenable number.

122112209993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112209993 is an equidigital number, since it uses as much as digits as its factorization.

122112209993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 41.

The spelling of 122112209993 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred nine thousand, nine hundred ninety-three".