12983324811840 has 280 divisors, whose sum is σ = 46285071703992. Its totient is φ = 3454640824320.

The previous prime is 12983324811823. The next prime is 12983324811871. The reversal of 12983324811840 is 4811842338921.

12983324811840 is a `hidden beast` number, since 1 + 2 + 9 + 83 + 3 + 2 + 481 + 1 + 84 + 0 = 666.

12983324811840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3213099270144 + 9770225541696 = 1792512^2 + 3125736^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11297410 + ... + 12393470.

Almost surely, 2^{12983324811840} is an apocalyptic number.

12983324811840 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 12983324811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23142535851996).

12983324811840 is an abundant number, since it is smaller than the sum of its proper divisors (33301746892152).

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

12983324811840 is a wasteful number, since it uses less digits than its factorization.

12983324811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096547 (or 1096528 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 12983324811840 in words is "twelve trillion, nine hundred eighty-three billion, three hundred twenty-four million, eight hundred eleven thousand, eight hundred forty".