12821372946000 has 240 divisors, whose sum is σ = 44841098914560. Its totient is φ = 3414427564800.

The previous prime is 12821372945989. The next prime is 12821372946133. The reversal of 12821372946000 is 64927312821.

12821372946000 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 1 + 37 + 2 + 9 + 4 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12894661 + ... + 13853339.

It is an arithmetic number, because the mean of its divisors is an integer number (186837912144).

Almost surely, 2^{12821372946000} is an apocalyptic number.

12821372946000 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 12821372946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22420549457280).

12821372946000 is an abundant number, since it is smaller than the sum of its proper divisors (32019725968560).

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

12821372946000 is a wasteful number, since it uses less digits than its factorization.

12821372946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959451 (or 959432 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12821372946000 in words is "twelve trillion, eight hundred twenty-one billion, three hundred seventy-two million, nine hundred forty-six thousand".