12378576000 has 768 divisors, whose sum is σ = 50428310400. Its totient is φ = 2670796800.

The previous prime is 12378575999. The next prime is 12378576013. The reversal of 12378576000 is 67587321.

It is a self number, because there is not a number n which added to its sum of digits gives 12378576000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44687862 + ... + 44688138.

Almost surely, 2^12378576000 is an apocalyptic number.

12378576000 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 12378576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25214155200).

12378576000 is an abundant number, since it is smaller than the sum of its proper divisors (38049734400).

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

12378576000 is a wasteful number, since it uses less digits than its factorization.

12378576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 12378576000 in words is "twelve billion, three hundred seventy-eight million, five hundred seventy-six thousand".