12676121426304 has 512 divisors, whose sum is σ = 44345738035200. Its totient is φ = 3488263833600.

The previous prime is 12676121426303. The next prime is 12676121426321. The reversal of 12676121426304 is 40362412167621.

12676121426304 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 6 + 1 + 2 + 1 + 4 + 2 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12676121426304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12676121426303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158199819 + ... + 158279925.

It is an arithmetic number, because the mean of its divisors is an integer number (86612769600).

Almost surely, 2^{12676121426304} is an apocalyptic number.

12676121426304 is a gapful number since it is divisible by the number (14) 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 12676121426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22172869017600).

12676121426304 is an abundant number, since it is smaller than the sum of its proper divisors (31669616608896).

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

12676121426304 is a wasteful number, since it uses less digits than its factorization.

12676121426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80379 (or 80361 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12676121426304 in words is "twelve trillion, six hundred seventy-six billion, one hundred twenty-one million, four hundred twenty-six thousand, three hundred four".