120385268 has 12 divisors (see below), whose sum is σ = 212607780. Its totient is φ = 59640192.

The previous prime is 120385261. The next prime is 120385271. The reversal of 120385268 is 862583021.

It can be written as a sum of positive squares in 2 ways, for example, as 83685904 + 36699364 = 9148^2 + 6058^2 .

It is a super-2 number, since 2×120385268² = 28985225502863648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120385261) 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 3 ways as a sum of consecutive naturals, for example, 137621 + ... + 138492.

It is an arithmetic number, because the mean of its divisors is an integer number (17717315).

Almost surely, 2^120385268 is an apocalyptic number.

It is an amenable number.

120385268 is a deficient number, since it is larger than the sum of its proper divisors (92222512).

120385268 is a wasteful number, since it uses less digits than its factorization.

120385268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276226 (or 276224 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 120385268 is about 10972.0220561207. The cubic root of 120385268 is about 493.7697135108.

The spelling of 120385268 in words is "one hundred twenty million, three hundred eighty-five thousand, two hundred sixty-eight".