122033122212257 has 2 divisors, whose sum is σ = 122033122212258. Its totient is φ = 122033122212256.

The previous prime is 122033122212241. The next prime is 122033122212343. The reversal of 122033122212257 is 752212221330221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84691233350656 + 37341888861601 = 9202784^2 + 6110801^2 .

It is a cyclic number.

It is not a de Polignac number, because 122033122212257 - 2⁴ = 122033122212241 is a prime.

It is a super-2 number, since 2×122033122212257² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122033122218257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61016561106128 + 61016561106129.

It is an arithmetic number, because the mean of its divisors is an integer number (61016561106129).

Almost surely, 2^{122033122212257} is an apocalyptic number.

It is an amenable number.

122033122212257 is a deficient number, since it is larger than the sum of its proper divisors (1).

122033122212257 is an equidigital number, since it uses as much as digits as its factorization.

122033122212257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 122033122212257 its reverse (752212221330221), we get a palindrome (874245343542478).

The spelling of 122033122212257 in words is "one hundred twenty-two trillion, thirty-three billion, one hundred twenty-two million, two hundred twelve thousand, two hundred fifty-seven".