1217540457121 has 2 divisors, whose sum is σ = 1217540457122. Its totient is φ = 1217540457120.

The previous prime is 1217540457073. The next prime is 1217540457173.

It is a happy number.

1217540457121 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 723071312896 + 494469144225 = 850336^2 + 703185^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1217540457121 - 2¹⁷ = 1217540326049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1217570457121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 608770228560 + 608770228561.

It is an arithmetic number, because the mean of its divisors is an integer number (608770228561).

Almost surely, 2^{1217540457121} is an apocalyptic number.

It is an amenable number.

1217540457121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1217540457121 is an equidigital number, since it uses as much as digits as its factorization.

1217540457121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78400, while the sum is 40.

The spelling of 1217540457121 in words is "one trillion, two hundred seventeen billion, five hundred forty million, four hundred fifty-seven thousand, one hundred twenty-one".