12464767200 has 576 divisors, whose sum is σ = 46167045120. Its totient is φ = 2903408640.

The previous prime is 12464767193. The next prime is 12464767213. The reversal of 12464767200 is 276746421.

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, 34720621 + ... + 34720979.

It is an arithmetic number, because the mean of its divisors is an integer number (80151120).

Almost surely, 2^12464767200 is an apocalyptic number.

12464767200 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 12464767200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23083522560).

12464767200 is an abundant number, since it is smaller than the sum of its proper divisors (33702277920).

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

12464767200 is a wasteful number, since it uses less digits than its factorization.

12464767200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 12464767200 in words is "twelve billion, four hundred sixty-four million, seven hundred sixty-seven thousand, two hundred".