12708124800 has 384 divisors, whose sum is σ = 49494153600. Its totient is φ = 2804121600.

The previous prime is 12708124799. The next prime is 12708124823. The reversal of 12708124800 is 842180721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12708124800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1945540 + ... + 1952060.

It is an arithmetic number, because the mean of its divisors is an integer number (128891025).

Almost surely, 2^12708124800 is an apocalyptic number.

12708124800 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 12708124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24747076800).

12708124800 is an abundant number, since it is smaller than the sum of its proper divisors (36786028800).

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

12708124800 is a wasteful number, since it uses less digits than its factorization.

12708124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584 (or 6567 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 12708124800 in words is "twelve billion, seven hundred eight million, one hundred twenty-four thousand, eight hundred".