12328005600 has 1080 divisors, whose sum is σ = 51860305728. Its totient is φ = 2836684800.

The previous prime is 12328005563. The next prime is 12328005643. The reversal of 12328005600 is 650082321.

12328005600 is a `hidden beast` number, since 1 + 23 + 2 + 80 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 397677585 + ... + 397677615.

Almost surely, 2^12328005600 is an apocalyptic number.

12328005600 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 12328005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25930152864).

12328005600 is an abundant number, since it is smaller than the sum of its proper divisors (39532300128).

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

12328005600 is a wasteful number, since it uses less digits than its factorization.

12328005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

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

Adding to 12328005600 its reverse (650082321), we get a palindrome (12978087921).

The spelling of 12328005600 in words is "twelve billion, three hundred twenty-eight million, five thousand, six hundred".