120335328 has 192 divisors, whose sum is σ = 372556800. Its totient is φ = 37739520.

The previous prime is 120335321. The next prime is 120335329. The reversal of 120335328 is 823533021.

120335328 is a `hidden beast` number, since 1 + 2 + 0 + 335 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120335321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1523193 + ... + 1523271.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 2^120335328 is an apocalyptic number.

120335328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120335328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

120335328 is an abundant number, since it is smaller than the sum of its proper divisors (252221472).

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

120335328 is a wasteful number, since it uses less digits than its factorization.

120335328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 120335328 is about 10969.7460317001. The cubic root of 120335328 is about 493.7014264453.

Adding to 120335328 its reverse (823533021), we get a palindrome (943868349).

The spelling of 120335328 in words is "one hundred twenty million, three hundred thirty-five thousand, three hundred twenty-eight".