12221130322320 has 320 divisors, whose sum is σ = 40802870949120. Its totient is φ = 3015032832000.

The previous prime is 12221130322241. The next prime is 12221130322363. The reversal of 12221130322320 is 2322303112221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57172440 + ... + 57385800.

It is an arithmetic number, because the mean of its divisors is an integer number (127508971716).

Almost surely, 2^{12221130322320} is an apocalyptic number.

12221130322320 is a gapful number since it is divisible by the number (10) 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 12221130322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20401435474560).

12221130322320 is an abundant number, since it is smaller than the sum of its proper divisors (28581740626800).

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

12221130322320 is a wasteful number, since it uses less digits than its factorization.

12221130322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213634 (or 213628 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12221130322320 its reverse (2322303112221), we get a palindrome (14543433434541).

The spelling of 12221130322320 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty million, three hundred twenty-two thousand, three hundred twenty".