12383813635200 has 2304 divisors, whose sum is σ = 55546373376000. Its totient is φ = 2561841561600.

The previous prime is 12383813635153. The next prime is 12383813635201. The reversal of 12383813635200 is 253631838321.

12383813635200 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 3 + 8 + 1 + 3 + 635 + 2 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12383813635201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24329692546 + ... + 24329693054.

It is an arithmetic number, because the mean of its divisors is an integer number (24108669000).

Almost surely, 2^{12383813635200} is an apocalyptic number.

12383813635200 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 12383813635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27773186688000).

12383813635200 is an abundant number, since it is smaller than the sum of its proper divisors (43162559740800).

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

12383813635200 is a wasteful number, since it uses less digits than its factorization.

12383813635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12383813635200 in words is "twelve trillion, three hundred eighty-three billion, eight hundred thirteen million, six hundred thirty-five thousand, two hundred".