12387828748800 has 960 divisors, whose sum is σ = 42953020830720. Its totient is φ = 3144148254720.

The previous prime is 12387828748793. The next prime is 12387828748807. The reversal of 12387828748800 is 884782878321.

It is an interprime number because it is at equal distance from previous prime (12387828748793) and next prime (12387828748807).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×12387828748800² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12387828748807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17039654037 + ... + 17039654763.

It is an arithmetic number, because the mean of its divisors is an integer number (44742730032).

Almost surely, 2^{12387828748800} is an apocalyptic number.

12387828748800 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 12387828748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21476510415360).

12387828748800 is an abundant number, since it is smaller than the sum of its proper divisors (30565192081920).

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

12387828748800 is a wasteful number, since it uses less digits than its factorization.

12387828748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 77070336, while the sum is 66.

The spelling of 12387828748800 in words is "twelve trillion, three hundred eighty-seven billion, eight hundred twenty-eight million, seven hundred forty-eight thousand, eight hundred".