12451524320 has 96 divisors (see below), whose sum is σ = 29625976800. Its totient is φ = 4945346560.

The previous prime is 12451524311. The next prime is 12451524347. The reversal of 12451524320 is 2342515421.

12451524320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 25359275 + ... + 25359765.

It is an arithmetic number, because the mean of its divisors is an integer number (308603925).

Almost surely, 2^12451524320 is an apocalyptic number.

12451524320 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 12451524320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812988400).

12451524320 is an abundant number, since it is smaller than the sum of its proper divisors (17174452480).

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

12451524320 is a wasteful number, since it uses less digits than its factorization.

12451524320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 12451524320 in words is "twelve billion, four hundred fifty-one million, five hundred twenty-four thousand, three hundred twenty".