120327120 has 200 divisors, whose sum is σ = 432115200. Its totient is φ = 31000320.

The previous prime is 120327113. The next prime is 120327167. The reversal of 120327120 is 21723021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120327093 and 120327102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200581 + ... + 201179.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2^120327120 is an apocalyptic number.

120327120 is a gapful number since it is divisible by the number (10) 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 120327120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

120327120 is an abundant number, since it is smaller than the sum of its proper divisors (311788080).

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

120327120 is a wasteful number, since it uses less digits than its factorization.

120327120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 120327120 is about 10969.3719054465. The cubic root of 120327120 is about 493.6902011647.

The spelling of 120327120 in words is "one hundred twenty million, three hundred twenty-seven thousand, one hundred twenty".