120015168 has 112 divisors (see below), whose sum is σ = 390875520. Its totient is φ = 31647744.

The previous prime is 120015149. The next prime is 120015197. The reversal of 120015168 is 861510021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 14038 + ... + 20906.

It is an arithmetic number, because the mean of its divisors is an integer number (3489960).

Almost surely, 2^120015168 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 120015168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195437760).

120015168 is an abundant number, since it is smaller than the sum of its proper divisors (270860352).

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

120015168 is a wasteful number, since it uses less digits than its factorization.

120015168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 120015168 is about 10955.1434495400. The cubic root of 120015168 is about 493.2631959376.

Adding to 120015168 its reverse (861510021), we get a palindrome (981525189).

The spelling of 120015168 in words is "one hundred twenty million, fifteen thousand, one hundred sixty-eight".