12771043200 has 480 divisors, whose sum is σ = 48781755000. Its totient is φ = 3286241280.

The previous prime is 12771043199. The next prime is 12771043213. The reversal of 12771043200 is 234017721.

It is a happy number.

12771043200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7515951 + ... + 7517649.

Almost surely, 2^12771043200 is an apocalyptic number.

12771043200 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 12771043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24390877500).

12771043200 is an abundant number, since it is smaller than the sum of its proper divisors (36010711800).

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

12771043200 is a wasteful number, since it uses less digits than its factorization.

12771043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 12771043200 in words is "twelve billion, seven hundred seventy-one million, forty-three thousand, two hundred".