36300120366127 has 2 divisors, whose sum is σ = 36300120366128. Its totient is φ = 36300120366126.

The previous prime is 36300120366049. The next prime is 36300120366137. The reversal of 36300120366127 is 72166302100363.

36300120366127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 36300120366127 - 2¹⁵ = 36300120333359 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36300120366127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36300120366137) 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, 18150060183063 + 18150060183064.

It is an arithmetic number, because the mean of its divisors is an integer number (18150060183064).

Almost surely, 2^{36300120366127} is an apocalyptic number.

36300120366127 is a deficient number, since it is larger than the sum of its proper divisors (1).

36300120366127 is an equidigital number, since it uses as much as digits as its factorization.

36300120366127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 36300120366127 in words is "thirty-six trillion, three hundred billion, one hundred twenty million, three hundred sixty-six thousand, one hundred twenty-seven".