12352432608000 has 3024 divisors, whose sum is σ = 51911808530400. Its totient is φ = 2915813376000.

The previous prime is 12352432607839. The next prime is 12352432608073. The reversal of 12352432608000 is 80623425321.

12352432608000 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 2 + 43 + 2 + 608 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 398465567985 + ... + 398465568015.

It is an arithmetic number, because the mean of its divisors is an integer number (17166603350).

Almost surely, 2^{12352432608000} is an apocalyptic number.

12352432608000 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 12352432608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25955904265200).

12352432608000 is an abundant number, since it is smaller than the sum of its proper divisors (39559375922400).

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

12352432608000 is an frugal number, since it uses more digits than its factorization.

12352432608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12352432608000 in words is "twelve trillion, three hundred fifty-two billion, four hundred thirty-two million, six hundred eight thousand".