12382126278600 has 576 divisors, whose sum is σ = 42325109323200. Its totient is φ = 2992506716160.

The previous prime is 12382126278553. The next prime is 12382126278601. The reversal of 12382126278600 is 687262128321.

It is a self number, because there is not a number n which added to its sum of digits gives 12382126278600.

It is not an unprimeable number, because it can be changed into a prime (12382126278601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1680295716 + ... + 1680303084.

It is an arithmetic number, because the mean of its divisors is an integer number (73481092575).

Almost surely, 2^{12382126278600} is an apocalyptic number.

12382126278600 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 12382126278600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162554661600).

12382126278600 is an abundant number, since it is smaller than the sum of its proper divisors (29942983044600).

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

12382126278600 is a wasteful number, since it uses less digits than its factorization.

12382126278600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7714 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 12382126278600 in words is "twelve trillion, three hundred eighty-two billion, one hundred twenty-six million, two hundred seventy-eight thousand, six hundred".