221310220320000 has 1080 divisors, whose sum is σ = 918448845490176. Its totient is φ = 50186594304000.

The previous prime is 221310220319983. The next prime is 221310220320019. The reversal of 221310220320000 is 23022013122.

221310220320000 is a `hidden beast` number, since 221 + 3 + 102 + 20 + 320 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1280073562 + ... + 1280246438.

Almost surely, 2^{221310220320000} is an apocalyptic number.

221310220320000 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 221310220320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459224422745088).

221310220320000 is an abundant number, since it is smaller than the sum of its proper divisors (697138625170176).

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

221310220320000 is a wasteful number, since it uses less digits than its factorization.

221310220320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173053 (or 173021 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221310220320000 its reverse (23022013122), we get a palindrome (221333242333122).

The spelling of 221310220320000 in words is "two hundred twenty-one trillion, three hundred ten billion, two hundred twenty million, three hundred twenty thousand".