12438316800 has 1296 divisors, whose sum is σ = 57643498080. Its totient is φ = 2601123840.

The previous prime is 12438316789. The next prime is 12438316817. The reversal of 12438316800 is 861383421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110073544 + ... + 110073656.

Almost surely, 2^12438316800 is an apocalyptic number.

12438316800 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 12438316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28821749040).

12438316800 is an abundant number, since it is smaller than the sum of its proper divisors (45205181280).

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

12438316800 is a wasteful number, since it uses less digits than its factorization.

12438316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12438316800 in words is "twelve billion, four hundred thirty-eight million, three hundred sixteen thousand, eight hundred".