12500728002 has 192 divisors, whose sum is σ = 33045408000. Its totient is φ = 3491921664.

The previous prime is 12500728001. The next prime is 12500728003. The reversal of 12500728002 is 20082700521.

12500728002 is a `hidden beast` number, since 12 + 500 + 72 + 80 + 0 + 2 = 666.

12500728002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12500728001) and next prime (12500728003).

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

It is not an unprimeable number, because it can be changed into a prime (12500728001) 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 95 ways as a sum of consecutive naturals, for example, 25668603 + ... + 25669089.

It is an arithmetic number, because the mean of its divisors is an integer number (172111500).

Almost surely, 2^12500728002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12500728002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522704000).

12500728002 is an abundant number, since it is smaller than the sum of its proper divisors (20544679998).

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

12500728002 is a wasteful number, since it uses less digits than its factorization.

12500728002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 12500728002 in words is "twelve billion, five hundred million, seven hundred twenty-eight thousand, two".