221202221221120 has 72 divisors (see below), whose sum is σ = 529855016481000. Its totient is φ = 88479791185920.

The previous prime is 221202221221027. The next prime is 221202221221123. The reversal of 221202221221120 is 21122122202122.

It can be written as a sum of positive squares in 4 ways, for example, as 134284339724544 + 86917881496576 = 11588112^2 + 9322976^2 .

It is a super-2 number, since 2×221202221221120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221202221221091 and 221202221221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221202221221123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106389256 + ... + 108448504.

It is an arithmetic number, because the mean of its divisors is an integer number (7359097451125).

Almost surely, 2^{221202221221120} is an apocalyptic number.

221202221221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202221221120 is an abundant number, since it is smaller than the sum of its proper divisors (308652795259880).

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

221202221221120 is an equidigital number, since it uses as much as digits as its factorization.

221202221221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143191 (or 2143177 counting only the distinct ones).

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

Adding to 221202221221120 its reverse (21122122202122), we get a palindrome (242324343423242).

The spelling of 221202221221120 in words is "two hundred twenty-one trillion, two hundred two billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".