120133130122309 has 16 divisors (see below), whose sum is σ = 130638822560496. Its totient is φ = 110009609395200.

The previous prime is 120133130122301. The next prime is 120133130122331. The reversal of 120133130122309 is 903221031331021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6701108822500 + 113432021299809 = 2588650^2 + 10650447^2 .

It is a cyclic number.

It is not a de Polignac number, because 120133130122309 - 2³ = 120133130122301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133130122301) 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 in 15 ways as a sum of consecutive naturals, for example, 72128679 + ... + 73775419.

It is an arithmetic number, because the mean of its divisors is an integer number (8164926410031).

Almost surely, 2^{120133130122309} is an apocalyptic number.

It is an amenable number.

120133130122309 is a deficient number, since it is larger than the sum of its proper divisors (10505692438187).

120133130122309 is a wasteful number, since it uses less digits than its factorization.

120133130122309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762776.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 120133130122309 in words is "one hundred twenty trillion, one hundred thirty-three billion, one hundred thirty million, one hundred twenty-two thousand, three hundred nine".