120028168 has 96 divisors (see below), whose sum is σ = 268833600. Its totient is φ = 49838976.

The previous prime is 120028157. The next prime is 120028193. The reversal of 120028168 is 861820021.

It is a super-2 number, since 2×120028168² = 28813522226872448, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 863443 + ... + 863581.

It is an arithmetic number, because the mean of its divisors is an integer number (2800350).

Almost surely, 2^120028168 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 120028168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416800).

120028168 is an abundant number, since it is smaller than the sum of its proper divisors (148805432).

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

120028168 is a wasteful number, since it uses less digits than its factorization.

120028168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 120028168 is about 10955.7367620804. The cubic root of 120028168 is about 493.2810053255.

Adding to 120028168 its reverse (861820021), we get a palindrome (981848189).

The spelling of 120028168 in words is "one hundred twenty million, twenty-eight thousand, one hundred sixty-eight".