12731225472 has 288 divisors, whose sum is σ = 45126988920. Its totient is φ = 3423264768.

The previous prime is 12731225471. The next prime is 12731225491. The reversal of 12731225472 is 27452213721.

12731225472 is a `hidden beast` number, since 1 + 27 + 312 + 254 + 72 = 666.

12731225472 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12731225471) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 952983 + ... + 966249.

Almost surely, 2^12731225472 is an apocalyptic number.

12731225472 is a gapful number since it is divisible by the number (12) 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 12731225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22563494460).

12731225472 is an abundant number, since it is smaller than the sum of its proper divisors (32395763448).

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

12731225472 is a wasteful number, since it uses less digits than its factorization.

12731225472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13318 (or 13296 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The spelling of 12731225472 in words is "twelve billion, seven hundred thirty-one million, two hundred twenty-five thousand, four hundred seventy-two".