120289661584 has 45 divisors (see below), whose sum is σ = 240907973481. Its totient is φ = 58183865280.

The previous prime is 120289661551. The next prime is 120289661603. The reversal of 120289661584 is 485166982021.

The square root of 120289661584 is 346828.

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., 88935168400 + 31354493184 = 298220^2 + 177072^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43005274 + ... + 43008070.

Almost surely, 2^120289661584 is an apocalyptic number.

120289661584 is the 346828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120289661584

120289661584 is an abundant number, since it is smaller than the sum of its proper divisors (120618311897).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120289661584 is an frugal number, since it uses more digits than its factorization.

120289661584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 120289661584 in words is "one hundred twenty billion, two hundred eighty-nine million, six hundred sixty-one thousand, five hundred eighty-four".