12330120130020 has 288 divisors, whose sum is σ = 46670775540480. Its totient is φ = 2559877447680.

The previous prime is 12330120129959. The next prime is 12330120130043. The reversal of 12330120130020 is 2003102103321.

12330120130020 is a `hidden beast` number, since 1 + 2 + 330 + 12 + 0 + 1 + 300 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12330120129975 and 12330120130002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15594796 + ... + 16366364.

It is an arithmetic number, because the mean of its divisors is an integer number (162051303960).

Almost surely, 2^{12330120130020} is an apocalyptic number.

12330120130020 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 12330120130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23335387770240).

12330120130020 is an abundant number, since it is smaller than the sum of its proper divisors (34340655410460).

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

12330120130020 is a wasteful number, since it uses less digits than its factorization.

12330120130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772755 (or 772750 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12330120130020 its reverse (2003102103321), we get a palindrome (14333222233341).

The spelling of 12330120130020 in words is "twelve trillion, three hundred thirty billion, one hundred twenty million, one hundred thirty thousand, twenty".