20303331012000 has 576 divisors, whose sum is σ = 75217476585888. Its totient is φ = 5181511680000.

The previous prime is 20303331011879. The next prime is 20303331012001. The reversal of 20303331012000 is 21013330302.

20303331012000 is a `hidden beast` number, since 2 + 0 + 30 + 333 + 101 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 437804542224 + 19865526469776 = 661668^2 + 4457076^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20303331012001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 81127060 + ... + 81376940.

Almost surely, 2^{20303331012000} is an apocalyptic number.

20303331012000 is a gapful number since it is divisible by the number (20) 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 20303331012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37608738292944).

20303331012000 is an abundant number, since it is smaller than the sum of its proper divisors (54914145573888).

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

20303331012000 is a wasteful number, since it uses less digits than its factorization.

20303331012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250010 (or 249989 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20303331012000 its reverse (21013330302), we get a palindrome (20324344342302).

The spelling of 20303331012000 in words is "twenty trillion, three hundred three billion, three hundred thirty-one million, twelve thousand".