1321321324224 has 168 divisors, whose sum is σ = 3848099512320. Its totient is φ = 399838461440.

The previous prime is 1321321324223. The next prime is 1321321324231. The reversal of 1321321324224 is 4224231231231.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1321321324191 and 1321321324200.

It is not an unprimeable number, because it can be changed into a prime (1321321324223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16664257 + ... + 16743359.

It is an arithmetic number, because the mean of its divisors is an integer number (22905354240).

Almost surely, 2^{1321321324224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321321324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924049756160).

1321321324224 is an abundant number, since it is smaller than the sum of its proper divisors (2526778188096).

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

1321321324224 is a wasteful number, since it uses less digits than its factorization.

1321321324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79859 (or 79838 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 1321321324224 its reverse (4224231231231), we get a palindrome (5545552555455).

The spelling of 1321321324224 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-one million, three hundred twenty-four thousand, two hundred twenty-four".