12001946400 has 432 divisors, whose sum is σ = 43869145320. Its totient is φ = 3085516800.

The previous prime is 12001946389. The next prime is 12001946417. The reversal of 12001946400 is 464910021.

12001946400 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 19 + 4 + 640 + 0 = 666.

12001946400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 100881936 + 11901064464 = 10044^2 + 109092^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32176614 + ... + 32176986.

Almost surely, 2^12001946400 is an apocalyptic number.

12001946400 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 12001946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934572660).

12001946400 is an abundant number, since it is smaller than the sum of its proper divisors (31867198920).

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

12001946400 is a wasteful number, since it uses less digits than its factorization.

12001946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12001946400 in words is "twelve billion, one million, nine hundred forty-six thousand, four hundred".