120330033121127 has 2 divisors, whose sum is σ = 120330033121128. Its totient is φ = 120330033121126.

The previous prime is 120330033121121. The next prime is 120330033121171. The reversal of 120330033121127 is 721121330033021.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120330033121127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120330033121127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120330033121121) 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, 60165016560563 + 60165016560564.

It is an arithmetic number, because the mean of its divisors is an integer number (60165016560564).

Almost surely, 2^{120330033121127} is an apocalyptic number.

120330033121127 is a deficient number, since it is larger than the sum of its proper divisors (1).

120330033121127 is an equidigital number, since it uses as much as digits as its factorization.

120330033121127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 120330033121127 its reverse (721121330033021), we get a palindrome (841451363154148).

The spelling of 120330033121127 in words is "one hundred twenty trillion, three hundred thirty billion, thirty-three million, one hundred twenty-one thousand, one hundred twenty-seven".