21330201220000 has 240 divisors, whose sum is σ = 54307718748360. Its totient is φ = 8234422784000.

The previous prime is 21330201219997. The next prime is 21330201220019. The reversal of 21330201220000 is 2210203312.

It can be written as a sum of positive squares in 20 ways, for example, as 17472700961296 + 3857500258704 = 4180036^2 + 1964052^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1715053782 + ... + 1715066218.

Almost surely, 2^{21330201220000} is an apocalyptic number.

21330201220000 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 21330201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27153859374180).

21330201220000 is an abundant number, since it is smaller than the sum of its proper divisors (32977517528360).

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

21330201220000 is a wasteful number, since it uses less digits than its factorization.

21330201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15453 (or 15430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21330201220000 its reverse (2210203312), we get a palindrome (21332411423312).

The spelling of 21330201220000 in words is "twenty-one trillion, three hundred thirty billion, two hundred one million, two hundred twenty thousand".