12820650393600 has 1134 divisors, whose sum is σ = 53472757739310. Its totient is φ = 2927791964160.

The previous prime is 12820650393563. The next prime is 12820650393703. The reversal of 12820650393600 is 639305602821.

12820650393600 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 0 + 6 + 5 + 0 + 39 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 78149320704 + 12742501072896 = 279552^2 + 3569664^2 .

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 (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11560549846 + ... + 11560550954.

Almost surely, 2^{12820650393600} is an apocalyptic number.

12820650393600 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 12820650393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26736378869655).

12820650393600 is an abundant number, since it is smaller than the sum of its proper divisors (40652107345710).

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

12820650393600 is an frugal number, since it uses more digits than its factorization.

12820650393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12820650393600 in words is "twelve trillion, eight hundred twenty billion, six hundred fifty million, three hundred ninety-three thousand, six hundred".