12051730240 has 224 divisors, whose sum is σ = 32398289280. Its totient is φ = 4231987200.

The previous prime is 12051730237. The next prime is 12051730291. The reversal of 12051730240 is 4203715021.

It is a happy number.

12051730240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 16307791 + ... + 16308529.

It is an arithmetic number, because the mean of its divisors is an integer number (144635220).

Almost surely, 2^12051730240 is an apocalyptic number.

12051730240 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 12051730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199144640).

12051730240 is an abundant number, since it is smaller than the sum of its proper divisors (20346559040).

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

12051730240 is a wasteful number, since it uses less digits than its factorization.

12051730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The spelling of 12051730240 in words is "twelve billion, fifty-one million, seven hundred thirty thousand, two hundred forty".