122267305253 has 2 divisors, whose sum is σ = 122267305254. Its totient is φ = 122267305252.

The previous prime is 122267305247. The next prime is 122267305291. The reversal of 122267305253 is 352503762221.

It is an a-pointer prime, because the next prime (122267305291) can be obtained adding 122267305253 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66730255684 + 55537049569 = 258322^2 + 235663^2 .

It is a cyclic number.

It is not a de Polignac number, because 122267305253 - 2¹⁸ = 122267043109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122267301253) 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, 61133652626 + 61133652627.

It is an arithmetic number, because the mean of its divisors is an integer number (61133652627).

Almost surely, 2^122267305253 is an apocalyptic number.

It is an amenable number.

122267305253 is a deficient number, since it is larger than the sum of its proper divisors (1).

122267305253 is an equidigital number, since it uses as much as digits as its factorization.

122267305253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 38.

The spelling of 122267305253 in words is "one hundred twenty-two billion, two hundred sixty-seven million, three hundred five thousand, two hundred fifty-three".