12338628000 has 384 divisors, whose sum is σ = 41845579776. Its totient is φ = 3176576000.

The previous prime is 12338627993. The next prime is 12338628017. The reversal of 12338628000 is 82683321.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73883917 + ... + 73884083.

It is an arithmetic number, because the mean of its divisors is an integer number (108972864).

Almost surely, 2^12338628000 is an apocalyptic number.

12338628000 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 12338628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20922789888).

12338628000 is an abundant number, since it is smaller than the sum of its proper divisors (29506951776).

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

12338628000 is a wasteful number, since it uses less digits than its factorization.

12338628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 12338628000 in words is "twelve billion, three hundred thirty-eight million, six hundred twenty-eight thousand".