120288591 has 24 divisors (see below), whose sum is σ = 183550640. Its totient is φ = 77800176.

The previous prime is 120288577. The next prime is 120288599. The reversal of 120288591 is 195882021.

It is not a de Polignac number, because 120288591 - 2⁵ = 120288559 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 (120288599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346480 + ... + 346826.

Almost surely, 2^120288591 is an apocalyptic number.

120288591 is a deficient number, since it is larger than the sum of its proper divisors (63262049).

120288591 is an frugal number, since it uses more digits than its factorization.

120288591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 120288591 is about 10967.6155567197. The cubic root of 120288591 is about 493.6375019884.

The spelling of 120288591 in words is "one hundred twenty million, two hundred eighty-eight thousand, five hundred ninety-one".