120330030020 has 96 divisors (see below), whose sum is σ = 276950016000. Its totient is φ = 43712313344.

The previous prime is 120330029983. The next prime is 120330030043. The reversal of 120330030020 is 20030033021.

It is a super-2 number, since 2×120330030020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120330029977 and 120330030004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25071581 + ... + 25076379.

It is an arithmetic number, because the mean of its divisors is an integer number (2884896000).

Almost surely, 2^120330030020 is an apocalyptic number.

120330030020 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 120330030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138475008000).

120330030020 is an abundant number, since it is smaller than the sum of its proper divisors (156619985980).

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

120330030020 is a wasteful number, since it uses less digits than its factorization.

120330030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397 (or 7395 counting only the distinct ones).

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

Adding to 120330030020 its reverse (20030033021), we get a palindrome (140360063041).

The spelling of 120330030020 in words is "one hundred twenty billion, three hundred thirty million, thirty thousand, twenty".