20001012200000 has 168 divisors, whose sum is σ = 53424772173864. Its totient is φ = 7384988160000.

The previous prime is 20001012199999. The next prime is 20001012200003. The reversal of 20001012200000 is 221010002.

It can be written as a sum of positive squares in 12 ways, for example, as 16498934124544 + 3502078075456 = 4061888^2 + 1871384^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (20001012200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1246349 + ... + 6446348.

It is an arithmetic number, because the mean of its divisors is an integer number (318004596273).

Almost surely, 2^{20001012200000} is an apocalyptic number.

20001012200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001012200000 is an abundant number, since it is smaller than the sum of its proper divisors (33423759973864).

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

20001012200000 is an frugal number, since it uses more digits than its factorization.

20001012200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692747 (or 7692717 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20001012200000 its reverse (221010002), we get a palindrome (20001233210002).

The spelling of 20001012200000 in words is "twenty trillion, one billion, twelve million, two hundred thousand".