20121012212200 has 48 divisors (see below), whose sum is σ = 47440245728160. Its totient is φ = 7935047064000.

The previous prime is 20121012212159. The next prime is 20121012212233. The reversal of 20121012212200 is 221221012102.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 708472146 + ... + 708500545.

It is an arithmetic number, because the mean of its divisors is an integer number (988338452670).

Almost surely, 2^{20121012212200} is an apocalyptic number.

20121012212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121012212200 is an abundant number, since it is smaller than the sum of its proper divisors (27319233515960).

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

20121012212200 is a wasteful number, since it uses less digits than its factorization.

20121012212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416972778 (or 1416972769 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20121012212200 its reverse (221221012102), we get a palindrome (20342233224302).

The spelling of 20121012212200 in words is "twenty trillion, one hundred twenty-one billion, twelve million, two hundred twelve thousand, two hundred".