120530809728 has 320 divisors, whose sum is σ = 410615377920. Its totient is φ = 34380702720.

The previous prime is 120530809697. The next prime is 120530809753. The reversal of 120530809728 is 827908035021.

It is a happy number.

120530809728 is a `hidden beast` number, since 1 + 2 + 0 + 530 + 8 + 0 + 97 + 28 = 666.

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, 66115825 + ... + 66117647.

It is an arithmetic number, because the mean of its divisors is an integer number (1283173056).

Almost surely, 2^120530809728 is an apocalyptic number.

120530809728 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 120530809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205307688960).

120530809728 is an abundant number, since it is smaller than the sum of its proper divisors (290084568192).

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

120530809728 is an equidigital number, since it uses as much as digits as its factorization.

120530809728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 120530809728 in words is "one hundred twenty billion, five hundred thirty million, eight hundred nine thousand, seven hundred twenty-eight".