221333230013220 has 288 divisors, whose sum is σ = 727873809621504. Its totient is φ = 54116481024000.

The previous prime is 221333230013197. The next prime is 221333230013293. The reversal of 221333230013220 is 22310032333122.

221333230013220 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 32 + 300 + 1 + 322 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5735042244 + ... + 5735080836.

Almost surely, 2^{221333230013220} is an apocalyptic number.

221333230013220 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 221333230013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363936904810752).

221333230013220 is an abundant number, since it is smaller than the sum of its proper divisors (506540579608284).

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

221333230013220 is a wasteful number, since it uses less digits than its factorization.

221333230013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55003 (or 54998 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 221333230013220 its reverse (22310032333122), we get a palindrome (243643262346342).

The spelling of 221333230013220 in words is "two hundred twenty-one trillion, three hundred thirty-three billion, two hundred thirty million, thirteen thousand, two hundred twenty".