20011220000000 has 288 divisors, whose sum is σ = 50256122515872. Its totient is φ = 7952256000000.

The previous prime is 20011219999913. The next prime is 20011220000003. The reversal of 20011220000000 is 2211002.

It can be written as a sum of positive squares in 16 ways, for example, as 9356061677824 + 10655158322176 = 3058768^2 + 3264224^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011220000003) 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 31 ways as a sum of consecutive naturals, for example, 3139996814 + ... + 3140003186.

Almost surely, 2^{20011220000000} is an apocalyptic number.

20011220000000 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 20011220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25128061257936).

20011220000000 is an abundant number, since it is smaller than the sum of its proper divisors (30244902515872).

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

20011220000000 is an frugal number, since it uses more digits than its factorization.

20011220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6537 counting only the distinct ones).

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

Adding to 20011220000000 its reverse (2211002), we get a palindrome (20011222211002).

The spelling of 20011220000000 in words is "twenty trillion, eleven billion, two hundred twenty million", and thus it is an aban number.