221320223312220 has 192 divisors, whose sum is σ = 692138415790080. Its totient is φ = 58711961721600.

The previous prime is 221320223312147. The next prime is 221320223312267. The reversal of 221320223312220 is 22213322023122.

221320223312220 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 202 + 233 + 1 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95586739 + ... + 97874741.

It is an arithmetic number, because the mean of its divisors is an integer number (3604887582240).

Almost surely, 2^{221320223312220} is an apocalyptic number.

221320223312220 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 221320223312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346069207895040).

221320223312220 is an abundant number, since it is smaller than the sum of its proper divisors (470818192477860).

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

221320223312220 is a wasteful number, since it uses less digits than its factorization.

221320223312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288953 (or 2288945 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 221320223312220 its reverse (22213322023122), we get a palindrome (243533545335342).

The spelling of 221320223312220 in words is "two hundred twenty-one trillion, three hundred twenty billion, two hundred twenty-three million, three hundred twelve thousand, two hundred twenty".