120173328 has 200 divisors, whose sum is σ = 399404000. Its totient is φ = 34499520.

The previous prime is 120173327. The next prime is 120173341. The reversal of 120173328 is 823371021.

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

It is not an unprimeable number, because it can be changed into a prime (120173327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6324903 + ... + 6324921.

It is an arithmetic number, because the mean of its divisors is an integer number (1997020).

Almost surely, 2^120173328 is an apocalyptic number.

120173328 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 120173328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199702000).

120173328 is an abundant number, since it is smaller than the sum of its proper divisors (279230672).

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

120173328 is an equidigital number, since it uses as much as digits as its factorization.

120173328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 120173328 is about 10962.3596000131. The cubic root of 120173328 is about 493.4797804005.

It can be divided in two parts, 1201 and 73328, that added together give a square (74529 = 273²).

The spelling of 120173328 in words is "one hundred twenty million, one hundred seventy-three thousand, three hundred twenty-eight".