12338659132800 has 3072 divisors, whose sum is σ = 59041981071360. Its totient is φ = 2178691891200.

The previous prime is 12338659132747. The next prime is 12338659132837. The reversal of 12338659132800 is 823195683321.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 7678069597 + ... + 7678071203.

It is an arithmetic number, because the mean of its divisors is an integer number (19219394880).

Almost surely, 2^{12338659132800} is an apocalyptic number.

12338659132800 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 12338659132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29520990535680).

12338659132800 is an abundant number, since it is smaller than the sum of its proper divisors (46703321938560).

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

12338659132800 is a wasteful number, since it uses less digits than its factorization.

12338659132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 12338659132800 in words is "twelve trillion, three hundred thirty-eight billion, six hundred fifty-nine million, one hundred thirty-two thousand, eight hundred".