21300001220000 has 120 divisors (see below), whose sum is σ = 52405789182516. Its totient is φ = 8519254016000.

The previous prime is 21300001219997. The next prime is 21300001220027. The reversal of 21300001220000 is 2210000312.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 6655388678416 + 14644612541584 = 2579804^2 + 3826828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 266220002 + ... + 266299998.

Almost surely, 2^{21300001220000} is an apocalyptic number.

21300001220000 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 21300001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26202894591258).

21300001220000 is an abundant number, since it is smaller than the sum of its proper divisors (31105787962516).

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

21300001220000 is an equidigital number, since it uses as much as digits as its factorization.

21300001220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93340 (or 93317 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 21300001220000 its reverse (2210000312), we get a palindrome (21302211220312).

The spelling of 21300001220000 in words is "twenty-one trillion, three hundred billion, one million, two hundred twenty thousand".