22005124120337 has 2 divisors, whose sum is σ = 22005124120338. Its totient is φ = 22005124120336.

The previous prime is 22005124120183. The next prime is 22005124120349. The reversal of 22005124120337 is 73302142150022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13962545749201 + 8042578371136 = 3736649^2 + 2835944^2 .

It is a cyclic number.

It is not a de Polignac number, because 22005124120337 - 2¹⁰ = 22005124119313 is a prime.

It is a super-3 number, since 3×22005124120337³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22005124120537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11002562060168 + 11002562060169.

It is an arithmetic number, because the mean of its divisors is an integer number (11002562060169).

Almost surely, 2^{22005124120337} is an apocalyptic number.

It is an amenable number.

22005124120337 is a deficient number, since it is larger than the sum of its proper divisors (1).

22005124120337 is an equidigital number, since it uses as much as digits as its factorization.

22005124120337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 22005124120337 its reverse (73302142150022), we get a palindrome (95307266270359).

The spelling of 22005124120337 in words is "twenty-two trillion, five billion, one hundred twenty-four million, one hundred twenty thousand, three hundred thirty-seven".