122131312255417 has 2 divisors, whose sum is σ = 122131312255418. Its totient is φ = 122131312255416.

The previous prime is 122131312255373. The next prime is 122131312255453. The reversal of 122131312255417 is 714552213131221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70130642355216 + 52000669900201 = 8374404^2 + 7211149^2 .

It is a cyclic number.

It is not a de Polignac number, because 122131312255417 - 2³¹ = 122129164771769 is a prime.

It is a super-3 number, since 3×122131312255417³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122131312255417.

It is not a weakly prime, because it can be changed into another prime (122131312253417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065656127708 + 61065656127709.

It is an arithmetic number, because the mean of its divisors is an integer number (61065656127709).

Almost surely, 2^{122131312255417} is an apocalyptic number.

It is an amenable number.

122131312255417 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131312255417 is an equidigital number, since it uses as much as digits as its factorization.

122131312255417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 100800, while the sum is 40.

Adding to 122131312255417 its reverse (714552213131221), we get a palindrome (836683525386638).

The spelling of 122131312255417 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred twelve million, two hundred fifty-five thousand, four hundred seventeen".