12017412622337 has 2 divisors, whose sum is σ = 12017412622338. Its totient is φ = 12017412622336.

The previous prime is 12017412622309. The next prime is 12017412622351. The reversal of 12017412622337 is 73322621471021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8031096898561 + 3986315723776 = 2833919^2 + 1996576^2 .

It is a cyclic number.

It is not a de Polignac number, because 12017412622337 - 2⁸ = 12017412622081 is a prime.

It is a super-2 number, since 2×12017412622337² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12017412622294 and 12017412622303.

It is not a weakly prime, because it can be changed into another prime (12017412622307) 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, 6008706311168 + 6008706311169.

It is an arithmetic number, because the mean of its divisors is an integer number (6008706311169).

Almost surely, 2^{12017412622337} is an apocalyptic number.

It is an amenable number.

12017412622337 is a deficient number, since it is larger than the sum of its proper divisors (1).

12017412622337 is an equidigital number, since it uses as much as digits as its factorization.

12017412622337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 12017412622337 in words is "twelve trillion, seventeen billion, four hundred twelve million, six hundred twenty-two thousand, three hundred thirty-seven".