221221302240 has 192 divisors, whose sum is σ = 724507822080. Its totient is φ = 56678123520.

The previous prime is 221221302233. The next prime is 221221302251. The reversal of 221221302240 is 42203122122.

It is a super-2 number, since 2×221221302240² (a number of 23 digits) contains 22 as substring.

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, 2014842 + ... + 2121798.

It is an arithmetic number, because the mean of its divisors is an integer number (3773478240).

Almost surely, 2^221221302240 is an apocalyptic number.

221221302240 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 221221302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362253911040).

221221302240 is an abundant number, since it is smaller than the sum of its proper divisors (503286519840).

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

221221302240 is a wasteful number, since it uses less digits than its factorization.

221221302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107145 (or 107137 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 221221302240 its reverse (42203122122), we get a palindrome (263424424362).

The spelling of 221221302240 in words is "two hundred twenty-one billion, two hundred twenty-one million, three hundred two thousand, two hundred forty".