20121010221220 has 48 divisors (see below), whose sum is σ = 43396687233648. Its totient is φ = 7830778152960.

The previous prime is 20121010221209. The next prime is 20121010221229. The reversal of 20121010221220 is 2212201012102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1830949971876 + 18290060249344 = 1353126^2 + 4276688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20121010221194 and 20121010221203.

It is not an unprimeable number, because it can be changed into a prime (20121010221229) 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 15 ways as a sum of consecutive naturals, for example, 84294840 + ... + 84533200.

It is an arithmetic number, because the mean of its divisors is an integer number (904097650701).

Almost surely, 2^{20121010221220} is an apocalyptic number.

20121010221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121010221220 is an abundant number, since it is smaller than the sum of its proper divisors (23275677012428).

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

20121010221220 is a wasteful number, since it uses less digits than its factorization.

20121010221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352480 (or 352478 counting only the distinct ones).

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

Adding to 20121010221220 its reverse (2212201012102), we get a palindrome (22333211233322).

The spelling of 20121010221220 in words is "twenty trillion, one hundred twenty-one billion, ten million, two hundred twenty-one thousand, two hundred twenty".