1305384837120 has 2688 divisors, whose sum is σ = 6212590876800. Its totient is φ = 256842399744.

The previous prime is 1305384837067. The next prime is 1305384837131. The reversal of 1305384837120 is 217384835031.

1305384837120 is a `hidden beast` number, since 1 + 3 + 0 + 538 + 48 + 3 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11976007626 + ... + 11976007734.

It is an arithmetic number, because the mean of its divisors is an integer number (2311231725).

Almost surely, 2^{1305384837120} is an apocalyptic number.

1305384837120 is a gapful number since it is divisible by the number (10) 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 1305384837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106295438400).

1305384837120 is an abundant number, since it is smaller than the sum of its proper divisors (4907206039680).

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

1305384837120 is a wasteful number, since it uses less digits than its factorization.

1305384837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1305384837120 in words is "one trillion, three hundred five billion, three hundred eighty-four million, eight hundred thirty-seven thousand, one hundred twenty".