120982568 has 48 divisors (see below), whose sum is σ = 268401600. Its totient is φ = 50961120.

The previous prime is 120982549. The next prime is 120982579. The reversal of 120982568 is 865289021.

It is a super-3 number, since 3×120982568³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20513 + ... + 25743.

It is an arithmetic number, because the mean of its divisors is an integer number (5591700).

Almost surely, 2^120982568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120982568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134200800).

120982568 is an abundant number, since it is smaller than the sum of its proper divisors (147419032).

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

120982568 is a wasteful number, since it uses less digits than its factorization.

120982568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 120982568 is about 10999.2076078234. The cubic root of 120982568 is about 494.5849910640.

The spelling of 120982568 in words is "one hundred twenty million, nine hundred eighty-two thousand, five hundred sixty-eight".