120320330000 has 200 divisors, whose sum is σ = 314824542648. Its totient is φ = 44269056000.

The previous prime is 120320329991. The next prime is 120320330023. The reversal of 120320330000 is 33023021.

It can be written as a sum of positive squares in 20 ways, for example, as 80956182784 + 39364147216 = 284528^2 + 198404^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×120320330000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 40688522 + ... + 40691478.

Almost surely, 2^120320330000 is an apocalyptic number.

120320330000 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 120320330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157412271324).

120320330000 is an abundant number, since it is smaller than the sum of its proper divisors (194504212648).

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

120320330000 is a wasteful number, since it uses less digits than its factorization.

120320330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 120320330000 its reverse (33023021), we get a palindrome (120353353021).

The spelling of 120320330000 in words is "one hundred twenty billion, three hundred twenty million, three hundred thirty thousand".