1304351141200 has 60 divisors (see below), whose sum is σ = 3168913856220. Its totient is φ = 515878190080.

The previous prime is 1304351141161. The next prime is 1304351141237. The reversal of 1304351141200 is 21411534031.

It can be written as a sum of positive squares in 6 ways, for example, as 310565456656 + 993785684544 = 557284^2 + 996888^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18283939 + ... + 18355138.

It is an arithmetic number, because the mean of its divisors is an integer number (52815230937).

Almost surely, 2^{1304351141200} is an apocalyptic number.

1304351141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304351141200 is an abundant number, since it is smaller than the sum of its proper divisors (1864562715020).

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

1304351141200 is a wasteful number, since it uses less digits than its factorization.

1304351141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36639184 (or 36639173 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1304351141200 its reverse (21411534031), we get a palindrome (1325762675231).

The spelling of 1304351141200 in words is "one trillion, three hundred four billion, three hundred fifty-one million, one hundred forty-one thousand, two hundred".