120405315259779 has 64 divisors (see below), whose sum is σ = 183749647011840. Its totient is φ = 69458661614720.

The previous prime is 120405315259699. The next prime is 120405315259811. The reversal of 120405315259779 is 977952513504021.

It is a cyclic number.

It is not a de Polignac number, because 120405315259779 - 2¹⁵ = 120405315227011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120405315259679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35471314 + ... + 38717240.

It is an arithmetic number, because the mean of its divisors is an integer number (2871088234560).

Almost surely, 2^{120405315259779} is an apocalyptic number.

120405315259779 is a deficient number, since it is larger than the sum of its proper divisors (63344331752061).

120405315259779 is a wasteful number, since it uses less digits than its factorization.

120405315259779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246520.

The product of its (nonzero) digits is 23814000, while the sum is 60.

The spelling of 120405315259779 in words is "one hundred twenty trillion, four hundred five billion, three hundred fifteen million, two hundred fifty-nine thousand, seven hundred seventy-nine".