20300011221000 has 768 divisors, whose sum is σ = 74111254663680. Its totient is φ = 4531494912000.

The previous prime is 20300011220969. The next prime is 20300011221001. The reversal of 20300011221000 is 12211000302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20300011221001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11962292152 + ... + 11962293848.

It is an arithmetic number, because the mean of its divisors is an integer number (96499029510).

Almost surely, 2^{20300011221000} is an apocalyptic number.

20300011221000 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 20300011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37055627331840).

20300011221000 is an abundant number, since it is smaller than the sum of its proper divisors (53811243442680).

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

20300011221000 is a wasteful number, since it uses less digits than its factorization.

20300011221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20300011221000 its reverse (12211000302), we get a palindrome (20312222221302).

The spelling of 20300011221000 in words is "twenty trillion, three hundred billion, eleven million, two hundred twenty-one thousand".