120120168 has 96 divisors (see below), whose sum is σ = 364599360. Its totient is φ = 32820480.

The previous prime is 120120157. The next prime is 120120179. The reversal of 120120168 is 861021021.

It is an interprime number because it is at equal distance from previous prime (120120157) and next prime (120120179).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 24828 + ... + 29268.

It is an arithmetic number, because the mean of its divisors is an integer number (3797910).

Almost surely, 2^120120168 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 120120168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182299680).

120120168 is an abundant number, since it is smaller than the sum of its proper divisors (244479192).

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

120120168 is a wasteful number, since it uses less digits than its factorization.

120120168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 120120168 is about 10959.9346713381. The cubic root of 120120168 is about 493.4070042565.

Adding to 120120168 its reverse (861021021), we get a palindrome (981141189).

The spelling of 120120168 in words is "one hundred twenty million, one hundred twenty thousand, one hundred sixty-eight".