221231141320 has 256 divisors, whose sum is σ = 617352192000. Its totient is φ = 69663919104.

The previous prime is 221231141297. The next prime is 221231141321. The reversal of 221231141320 is 23141132122.

It is a super-2 number, since 2×221231141320² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221231141291 and 221231141300.

It is not an unprimeable number, because it can be changed into a prime (221231141321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26750146 + ... + 26758414.

It is an arithmetic number, because the mean of its divisors is an integer number (2411532000).

Almost surely, 2^221231141320 is an apocalyptic number.

221231141320 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 221231141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308676096000).

221231141320 is an abundant number, since it is smaller than the sum of its proper divisors (396121050680).

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

221231141320 is a wasteful number, since it uses less digits than its factorization.

221231141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 221231141320 its reverse (23141132122), we get a palindrome (244372273442).

The spelling of 221231141320 in words is "two hundred twenty-one billion, two hundred thirty-one million, one hundred forty-one thousand, three hundred twenty".