1304231224224 has 96 divisors (see below), whose sum is σ = 3520053815040. Its totient is φ = 422574796800.

The previous prime is 1304231224189. The next prime is 1304231224249. The reversal of 1304231224224 is 4224221324031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1304231224191 and 1304231224200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455292 + ... + 1678020.

It is an arithmetic number, because the mean of its divisors is an integer number (36667227240).

Almost surely, 2^{1304231224224} 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 1304231224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760026907520).

1304231224224 is an abundant number, since it is smaller than the sum of its proper divisors (2215822590816).

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

1304231224224 is a wasteful number, since it uses less digits than its factorization.

1304231224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223054 (or 1223046 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1304231224224 its reverse (4224221324031), we get a palindrome (5528452548255).

The spelling of 1304231224224 in words is "one trillion, three hundred four billion, two hundred thirty-one million, two hundred twenty-four thousand, two hundred twenty-four".