12693324800 has 264 divisors, whose sum is σ = 34711486656. Its totient is φ = 4572610560.

The previous prime is 12693324773. The next prime is 12693324817. The reversal of 12693324800 is 842339621.

It is a super-2 number, since 2×12693324800² (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 23 ways as a sum of consecutive naturals, for example, 14309957 + ... + 14310843.

It is an arithmetic number, because the mean of its divisors is an integer number (131482904).

Almost surely, 2^12693324800 is an apocalyptic number.

12693324800 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 12693324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355743328).

12693324800 is an abundant number, since it is smaller than the sum of its proper divisors (22018161856).

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

12693324800 is a wasteful number, since it uses less digits than its factorization.

12693324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 12693324800 in words is "twelve billion, six hundred ninety-three million, three hundred twenty-four thousand, eight hundred".