21201320000 has 420 divisors, whose sum is σ = 63434053980. Its totient is φ = 6999552000.

The previous prime is 21201319999. The next prime is 21201320083. The reversal of 21201320000 is 2310212.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 15679046656 + 5522273344 = 125216^2 + 74312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56839814 + ... + 56840186.

Almost surely, 2^21201320000 is an apocalyptic number.

21201320000 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 21201320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31717026990).

21201320000 is an abundant number, since it is smaller than the sum of its proper divisors (42232733980).

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

21201320000 is an equidigital number, since it uses as much as digits as its factorization.

21201320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 416 counting only the distinct ones).

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

Adding to 21201320000 its reverse (2310212), we get a palindrome (21203630212).

The spelling of 21201320000 in words is "twenty-one billion, two hundred one million, three hundred twenty thousand".