12821201769600 has 1728 divisors, whose sum is σ = 56668231751040. Its totient is φ = 2802405703680.

The previous prime is 12821201769589. The next prime is 12821201769697. The reversal of 12821201769600 is 696710212821.

12821201769600 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 1 + 20 + 17 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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 215 ways as a sum of consecutive naturals, for example, 3380225304 + ... + 3380229096.

Almost surely, 2^{12821201769600} is an apocalyptic number.

12821201769600 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 12821201769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28334115875520).

12821201769600 is an abundant number, since it is smaller than the sum of its proper divisors (43847029981440).

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

12821201769600 is an frugal number, since it uses more digits than its factorization.

12821201769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12821201769600 in words is "twelve trillion, eight hundred twenty-one billion, two hundred one million, seven hundred sixty-nine thousand, six hundred".