221321330220000 has 480 divisors, whose sum is σ = 730593452058624. Its totient is φ = 58644518400000.

The previous prime is 221321330219987. The next prime is 221321330220013. The reversal of 221321330220000 is 22033123122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221321330219987) and next prime (221321330220013).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10738009695 + ... + 10738030305.

Almost surely, 2^{221321330220000} is an apocalyptic number.

221321330220000 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 221321330220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365296726029312).

221321330220000 is an abundant number, since it is smaller than the sum of its proper divisors (509272121838624).

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

221321330220000 is a wasteful number, since it uses less digits than its factorization.

221321330220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21772 (or 21749 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 221321330220000 its reverse (22033123122), we get a palindrome (221343363343122).

The spelling of 221321330220000 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, three hundred thirty million, two hundred twenty thousand".