120646536252505 has 16 divisors (see below), whose sum is σ = 146160063997200. Its totient is φ = 95595094149120.

The previous prime is 120646536252491. The next prime is 120646536252523. The reversal of 120646536252505 is 505252635646021.

It can be written as a sum of positive squares in 8 ways, for example, as 1980133037584 + 118666403214921 = 1407172^2 + 10893411^2 .

It is not a de Polignac number, because 120646536252505 - 2²⁷ = 120646402034777 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41002356 + ... + 43846165.

It is an arithmetic number, because the mean of its divisors is an integer number (9135003999825).

Almost surely, 2^{120646536252505} is an apocalyptic number.

It is an amenable number.

120646536252505 is a deficient number, since it is larger than the sum of its proper divisors (25513527744695).

120646536252505 is a wasteful number, since it uses less digits than its factorization.

120646536252505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84851244.

The product of its (nonzero) digits is 12960000, while the sum is 52.

The spelling of 120646536252505 in words is "one hundred twenty trillion, six hundred forty-six billion, five hundred thirty-six million, two hundred fifty-two thousand, five hundred five".