1321321342224 has 160 divisors (see below), whose sum is σ = 3837204403200. Its totient is φ = 389024317440.

The previous prime is 1321321342217. The next prime is 1321321342249. The reversal of 1321321342224 is 4222431231231.

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 = 1321321342191 and 1321321342200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1337872 + ... + 2105360.

It is an arithmetic number, because the mean of its divisors is an integer number (23982527520).

Almost surely, 2^{1321321342224} 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 1321321342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918602201600).

1321321342224 is an abundant number, since it is smaller than the sum of its proper divisors (2515883060976).

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

1321321342224 is a wasteful number, since it uses less digits than its factorization.

1321321342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767633 (or 767627 counting only the distinct ones).

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

Adding to 1321321342224 its reverse (4222431231231), we get a palindrome (5543752573455).

The spelling of 1321321342224 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-one million, three hundred forty-two thousand, two hundred twenty-four".