12632521233024 has 768 divisors, whose sum is σ = 46401683328000. Its totient is φ = 3270141020160.

The previous prime is 12632521233023. The next prime is 12632521233061. The reversal of 12632521233024 is 42033212523621.

12632521233024 is a `hidden beast` number, since 1 + 2 + 6 + 325 + 2 + 1 + 23 + 302 + 4 = 666.

12632521233024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12632521233024.

It is not an unprimeable number, because it can be changed into a prime (12632521233023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1334369539 + ... + 1334379005.

It is an arithmetic number, because the mean of its divisors is an integer number (60418858500).

Almost surely, 2^{12632521233024} is an apocalyptic number.

12632521233024 is a gapful number since it is divisible by the number (14) 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 12632521233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23200841664000).

12632521233024 is an abundant number, since it is smaller than the sum of its proper divisors (33769162094976).

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

12632521233024 is a wasteful number, since it uses less digits than its factorization.

12632521233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12632521233024 its reverse (42033212523621), we get a palindrome (54665733756645).

The spelling of 12632521233024 in words is "twelve trillion, six hundred thirty-two billion, five hundred twenty-one million, two hundred thirty-three thousand, twenty-four".