21220000000000 has 264 divisors, whose sum is σ = 53087035045590. Its totient is φ = 8480000000000.

The previous prime is 21219999999953. The next prime is 21220000000093. The reversal of 21220000000000 is 2212.

It is a happy number.

It can be written as a sum of positive squares in 11 ways, for example, as 5783524770816 + 15436475229184 = 2404896^2 + 3928928^2 .

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 21 ways as a sum of consecutive naturals, for example, 19999999470 + ... + 20000000530.

Almost surely, 2^{21220000000000} is an apocalyptic number.

21220000000000 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 21220000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26543517522795).

21220000000000 is an abundant number, since it is smaller than the sum of its proper divisors (31867035045590).

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

21220000000000 is an frugal number, since it uses more digits than its factorization.

21220000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 21220000000000 its reverse (2212), we get a palindrome (21220000002212).

The spelling of 21220000000000 in words is "twenty-one trillion, two hundred twenty billion", and thus it is an aban number.