12742752330 has 768 divisors, whose sum is σ = 46521630720. Its totient is φ = 2478833280.

The previous prime is 12742752289. The next prime is 12742752343. The reversal of 12742752330 is 3325724721.

12742752330 is a `hidden beast` number, since 1 + 274 + 2 + 7 + 52 + 330 = 666.

It is a congruent 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 383 ways as a sum of consecutive naturals, for example, 271122367 + ... + 271122413.

It is an arithmetic number, because the mean of its divisors is an integer number (60575040).

Almost surely, 2^12742752330 is an apocalyptic number.

12742752330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12742752330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23260815360).

12742752330 is an abundant number, since it is smaller than the sum of its proper divisors (33778878390).

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

12742752330 is a wasteful number, since it uses less digits than its factorization.

12742752330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 12742752330 in words is "twelve billion, seven hundred forty-two million, seven hundred fifty-two thousand, three hundred thirty".