1304241141312 has 448 divisors, whose sum is σ = 4196600029440. Its totient is φ = 395527421952.

The previous prime is 1304241141293. The next prime is 1304241141323. The reversal of 1304241141312 is 2131411424031.

It is a happy number.

1304241141312 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 241 + 1 + 413 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170641363 + ... + 170649005.

It is an arithmetic number, because the mean of its divisors is an integer number (9367410780).

Almost surely, 2^{1304241141312} is an apocalyptic number.

1304241141312 is a gapful number since it is divisible by the number (12) 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 1304241141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098300014720).

1304241141312 is an abundant number, since it is smaller than the sum of its proper divisors (2892358888128).

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

1304241141312 is a wasteful number, since it uses less digits than its factorization.

1304241141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7875 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1304241141312 its reverse (2131411424031), we get a palindrome (3435652565343).

The spelling of 1304241141312 in words is "one trillion, three hundred four billion, two hundred forty-one million, one hundred forty-one thousand, three hundred twelve".