20121012200020 has 12 divisors (see below), whose sum is σ = 42254125620084. Its totient is φ = 8048404880000.

The previous prime is 20121012199973. The next prime is 20121012200027. The reversal of 20121012200020 is 2000221012102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2246533336336 + 17874478863684 = 1498844^2 + 4227822^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121012200027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 503025304981 + ... + 503025305020.

It is an arithmetic number, because the mean of its divisors is an integer number (3521177135007).

Almost surely, 2^{20121012200020} is an apocalyptic number.

20121012200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121012200020 is an abundant number, since it is smaller than the sum of its proper divisors (22133113420064).

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

20121012200020 is a wasteful number, since it uses less digits than its factorization.

20121012200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006050610010 (or 1006050610008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20121012200020 its reverse (2000221012102), we get a palindrome (22121233212122).

The spelling of 20121012200020 in words is "twenty trillion, one hundred twenty-one billion, twelve million, two hundred thousand, twenty".