12510216432000 has 768 divisors, whose sum is σ = 51377072947200. Its totient is φ = 2857720320000.

The previous prime is 12510216431981. The next prime is 12510216432017. The reversal of 12510216432000 is 23461201521.

12510216432000 is a `hidden beast` number, since 1 + 2 + 5 + 10 + 2 + 1 + 643 + 2 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2369805361 + ... + 2369810639.

It is an arithmetic number, because the mean of its divisors is an integer number (66897230400).

Almost surely, 2^{12510216432000} is an apocalyptic number.

12510216432000 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 12510216432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25688536473600).

12510216432000 is an abundant number, since it is smaller than the sum of its proper divisors (38866856515200).

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

12510216432000 is a wasteful number, since it uses less digits than its factorization.

12510216432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7647 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12510216432000 its reverse (23461201521), we get a palindrome (12533677633521).

The spelling of 12510216432000 in words is "twelve trillion, five hundred ten billion, two hundred sixteen million, four hundred thirty-two thousand".