221301012224 has 288 divisors, whose sum is σ = 493619132160. Its totient is φ = 98625945600.

The previous prime is 221301012139. The next prime is 221301012239. The reversal of 221301012224 is 422210103122.

It is a super-2 number, since 2×221301012224² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221301012196 and 221301012205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123355294 + ... + 1123355490.

It is an arithmetic number, because the mean of its divisors is an integer number (1713955320).

Almost surely, 2^221301012224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221301012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246809566080).

221301012224 is an abundant number, since it is smaller than the sum of its proper divisors (272318119936).

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

221301012224 is a wasteful number, since it uses less digits than its factorization.

221301012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 221301012224 its reverse (422210103122), we get a palindrome (643511115346).

The spelling of 221301012224 in words is "two hundred twenty-one billion, three hundred one million, twelve thousand, two hundred twenty-four".