221122122201220 has 96 divisors (see below), whose sum is σ = 479481003036000. Its totient is φ = 85627407089664.

The previous prime is 221122122201161. The next prime is 221122122201229. The reversal of 221122122201220 is 22102221221122.

It can be written as a sum of positive squares in 16 ways, for example, as 21127315830916 + 199994806370304 = 4596446^2 + 14141952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221122122201191 and 221122122201200.

It is not an unprimeable number, because it can be changed into a prime (221122122201229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11591106 + ... + 24012454.

It is an arithmetic number, because the mean of its divisors is an integer number (4994593781625).

Almost surely, 2^{221122122201220} is an apocalyptic number.

221122122201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122122201220 is an abundant number, since it is smaller than the sum of its proper divisors (258358880834780).

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

221122122201220 is a wasteful number, since it uses less digits than its factorization.

221122122201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12421657 (or 12421655 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 221122122201220 its reverse (22102221221122), we get a palindrome (243224343422342).

The spelling of 221122122201220 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".