120768065289 has 63 divisors (see below), whose sum is σ = 184962858327. Its totient is φ = 78816855600.

The previous prime is 120768065287. The next prime is 120768065311. The reversal of 120768065289 is 982560867021.

The square root of 120768065289 is 347517.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3927152889 + 116840912400 = 62667^2 + 341820^2 .

It is not a de Polignac number, because 120768065289 - 2¹ = 120768065287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120768065287) 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 62 ways as a sum of consecutive naturals, for example, 572360394 + ... + 572360604.

Almost surely, 2^120768065289 is an apocalyptic number.

120768065289 is the 347517-th square number.

120768065289 is the 173759-th centered octagonal number.

It is an amenable number.

120768065289 is a deficient number, since it is larger than the sum of its proper divisors (64194793038).

120768065289 is an frugal number, since it uses more digits than its factorization.

120768065289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 120768065289 in words is "one hundred twenty billion, seven hundred sixty-eight million, sixty-five thousand, two hundred eighty-nine".