30320434120 has 96 divisors (see below), whose sum is σ = 70735282560. Its totient is φ = 11696572800.

The previous prime is 30320434087. The next prime is 30320434121. The reversal of 30320434120 is 2143402303.

It is a happy number.

It is a super-3 number, since 3×30320434120³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30320434091 and 30320434100.

It is not an unprimeable number, because it can be changed into a prime (30320434121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12722449 + ... + 12724831.

It is an arithmetic number, because the mean of its divisors is an integer number (736825860).

Almost surely, 2^30320434120 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 30320434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35367641280).

30320434120 is an abundant number, since it is smaller than the sum of its proper divisors (40414848440).

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

30320434120 is a wasteful number, since it uses less digits than its factorization.

30320434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 30320434120 its reverse (2143402303), we get a palindrome (32463836423).

The spelling of 30320434120 in words is "thirty billion, three hundred twenty million, four hundred thirty-four thousand, one hundred twenty".