122022221120257 has 2 divisors, whose sum is σ = 122022221120258. Its totient is φ = 122022221120256.

The previous prime is 122022221120203. The next prime is 122022221120291. The reversal of 122022221120257 is 752021122220221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120766384869376 + 1255836250881 = 10989376^2 + 1120641^2 .

It is a cyclic number.

It is not a de Polignac number, because 122022221120257 - 2³⁵ = 121987861381889 is a prime.

It is not a weakly prime, because it can be changed into another prime (122022221129257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011110560128 + 61011110560129.

It is an arithmetic number, because the mean of its divisors is an integer number (61011110560129).

Almost surely, 2^{122022221120257} is an apocalyptic number.

It is an amenable number.

122022221120257 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022221120257 is an equidigital number, since it uses as much as digits as its factorization.

122022221120257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8960, while the sum is 31.

Adding to 122022221120257 its reverse (752021122220221), we get a palindrome (874043343340478).

The spelling of 122022221120257 in words is "one hundred twenty-two trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty thousand, two hundred fifty-seven".