12485104128000 has 2080 divisors, whose sum is σ = 55067078626560. Its totient is φ = 2753475379200.

The previous prime is 12485104127813. The next prime is 12485104128017. The reversal of 12485104128000 is 82140158421.

12485104128000 is a `hidden beast` number, since 1 + 24 + 8 + 510 + 41 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 8418815259 + ... + 8418816741.

It is an arithmetic number, because the mean of its divisors is an integer number (26474557032).

Almost surely, 2^{12485104128000} is an apocalyptic number.

12485104128000 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 12485104128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27533539313280).

12485104128000 is an abundant number, since it is smaller than the sum of its proper divisors (42581974498560).

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

12485104128000 is an equidigital number, since it uses as much as digits as its factorization.

12485104128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 12485104128000 in words is "twelve trillion, four hundred eighty-five billion, one hundred four million, one hundred twenty-eight thousand".