11321221322320 has 320 divisors, whose sum is σ = 32609947829760. Its totient is φ = 3580545945600.

The previous prime is 11321221322297. The next prime is 11321221322329. The reversal of 11321221322320 is 2322312212311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321221322329) by changing a digit.

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, 2917086780 + ... + 2917090660.

It is an arithmetic number, because the mean of its divisors is an integer number (101906086968).

Almost surely, 2^{11321221322320} is an apocalyptic number.

11321221322320 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 11321221322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16304973914880).

11321221322320 is an abundant number, since it is smaller than the sum of its proper divisors (21288726507440).

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

11321221322320 is a wasteful number, since it uses less digits than its factorization.

11321221322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 11321221322320 its reverse (2322312212311), we get a palindrome (13643533534631).

The spelling of 11321221322320 in words is "eleven trillion, three hundred twenty-one billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty".