30330123320000 has 560 divisors, whose sum is σ = 90934641600000. Its totient is φ = 9801741312000.

The previous prime is 30330123319939. The next prime is 30330123320027. The reversal of 30330123320000 is 2332103303.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1058665676 + ... + 1058694324.

Almost surely, 2^{30330123320000} 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 30330123320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45467320800000).

30330123320000 is an abundant number, since it is smaller than the sum of its proper divisors (60604518280000).

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

30330123320000 is a wasteful number, since it uses less digits than its factorization.

30330123320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28906 (or 28881 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 30330123320000 its reverse (2332103303), we get a palindrome (30332455423303).

The spelling of 30330123320000 in words is "thirty trillion, three hundred thirty billion, one hundred twenty-three million, three hundred twenty thousand".