12326634286400 has 336 divisors, whose sum is σ = 36542546127360. Its totient is φ = 3997929830400.

The previous prime is 12326634286397. The next prime is 12326634286433. The reversal of 12326634286400 is 468243662321.

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 47 ways as a sum of consecutive naturals, for example, 145299995 + ... + 145384805.

It is an arithmetic number, because the mean of its divisors is an integer number (108757577760).

Almost surely, 2^{12326634286400} is an apocalyptic number.

12326634286400 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 12326634286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271273063680).

12326634286400 is an abundant number, since it is smaller than the sum of its proper divisors (24215911840960).

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

12326634286400 is a wasteful number, since it uses less digits than its factorization.

12326634286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85542 (or 85527 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 47.

The spelling of 12326634286400 in words is "twelve trillion, three hundred twenty-six billion, six hundred thirty-four million, two hundred eighty-six thousand, four hundred".