12708231782400 has 1680 divisors, whose sum is σ = 58699555041600. Its totient is φ = 2640406118400.

The previous prime is 12708231782371. The next prime is 12708231782401. The reversal of 12708231782400 is 428713280721.

12708231782400 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 8 + 231 + 7 + 8 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×12708231782400² (a number of 27 digits) contains 22 as substring.

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 (12708231782401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1277332626 + ... + 1277342574.

Almost surely, 2^{12708231782400} is an apocalyptic number.

12708231782400 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 12708231782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29349777520800).

12708231782400 is an abundant number, since it is smaller than the sum of its proper divisors (45991323259200).

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

12708231782400 is an equidigital number, since it uses as much as digits as its factorization.

12708231782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10015 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12708231782400 in words is "twelve trillion, seven hundred eight billion, two hundred thirty-one million, seven hundred eighty-two thousand, four hundred".