120009084928 has 104 divisors (see below), whose sum is σ = 245058141416. Its totient is φ = 58746470400.

The previous prime is 120009084919. The next prime is 120009084947. The reversal of 120009084928 is 829480900021.

120009084928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13597425664 + 106411659264 = 116608^2 + 326208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60214300 + ... + 60216292.

Almost surely, 2^120009084928 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 120009084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122529070708).

120009084928 is an abundant number, since it is smaller than the sum of its proper divisors (125049056488).

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

120009084928 is an equidigital number, since it uses as much as digits as its factorization.

120009084928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

Adding to 120009084928 its reverse (829480900021), we get a palindrome (949489984949).

The spelling of 120009084928 in words is "one hundred twenty billion, nine million, eighty-four thousand, nine hundred twenty-eight".