12408143328 has 576 divisors, whose sum is σ = 45551923200. Its totient is φ = 3214909440.

The previous prime is 12408143327. The next prime is 12408143347. The reversal of 12408143328 is 82334180421.

It is a happy number.

12408143328 is a `hidden beast` number, since 1 + 240 + 81 + 4 + 332 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12408143292 and 12408143301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12408143327) 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, 54183918 + ... + 54184146.

It is an arithmetic number, because the mean of its divisors is an integer number (79083200).

Almost surely, 2^12408143328 is an apocalyptic number.

12408143328 is a gapful number since it is divisible by the number (18) 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 12408143328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22775961600).

12408143328 is an abundant number, since it is smaller than the sum of its proper divisors (33143779872).

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

12408143328 is a wasteful number, since it uses less digits than its factorization.

12408143328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12408143328 in words is "twelve billion, four hundred eight million, one hundred forty-three thousand, three hundred twenty-eight".