12821149605600 has 1620 divisors, whose sum is σ = 56890466136504. Its totient is φ = 2796443274240.

The previous prime is 12821149605497. The next prime is 12821149605613. The reversal of 12821149605600 is 650694112821.

12821149605600 is a `hidden beast` number, since 1 + 2 + 8 + 21 + 1 + 4 + 9 + 60 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-3 number, since 3×12821149605600³ (a number of 40 digits) contains 333 as substring.

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 269 ways as a sum of consecutive naturals, for example, 30599402191 + ... + 30599402609.

Almost surely, 2^{12821149605600} is an apocalyptic number.

12821149605600 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 12821149605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28445233068252).

12821149605600 is an abundant number, since it is smaller than the sum of its proper divisors (44069316530904).

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

12821149605600 is an equidigital number, since it uses as much as digits as its factorization.

12821149605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12821149605600 in words is "twelve trillion, eight hundred twenty-one billion, one hundred forty-nine million, six hundred five thousand, six hundred".