12328243200 has 1248 divisors, whose sum is σ = 56878304000. Its totient is φ = 2601123840.

The previous prime is 12328243199. The next prime is 12328243201. The reversal of 12328243200 is 234282321.

12328243200 is a `hidden beast` number, since 12 + 328 + 2 + 4 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12328243199) and next prime (12328243201).

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is not an unprimeable number, because it can be changed into a prime (12328243201) 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, 948326394 + ... + 948326406.

Almost surely, 2^12328243200 is an apocalyptic number.

12328243200 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 12328243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28439152000).

12328243200 is an abundant number, since it is smaller than the sum of its proper divisors (44550060800).

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

12328243200 is an equidigital number, since it uses as much as digits as its factorization.

12328243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 12328243200 in words is "twelve billion, three hundred twenty-eight million, two hundred forty-three thousand, two hundred".