12821269262400 has 567 divisors, whose sum is σ = 46528492482199. Its totient is φ = 3348537354240.

The previous prime is 12821269262393. The next prime is 12821269262521. The reversal of 12821269262400 is 426296212821.

The square root of 12821269262400 is 3580680.

It is a perfect power (a square), and thus also a powerful number.

12821269262400 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 12 + 6 + 9 + 2 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96581722176 + 12724687540224 = 310776^2 + 3567168^2 .

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

It is a Duffinian 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 80 ways as a sum of consecutive naturals, for example, 22773124519 + ... + 22773125081.

Almost surely, 2^{12821269262400} is an apocalyptic number.

12821269262400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12821269262400 is the 3580680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12821269262400

12821269262400 is an abundant number, since it is smaller than the sum of its proper divisors (33707223219799).

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

12821269262400 is an frugal number, since it uses more digits than its factorization.

12821269262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12821269262400 in words is "twelve trillion, eight hundred twenty-one billion, two hundred sixty-nine million, two hundred sixty-two thousand, four hundred".