12512000160 has 216 divisors, whose sum is σ = 46932287220. Its totient is φ = 3033169920.

The previous prime is 12512000129. The next prime is 12512000173. The reversal of 12512000160 is 6100021521.

12512000160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11516723856 + 995276304 = 107316^2 + 31548^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 138336 + ... + 210144.

Almost surely, 2^12512000160 is an apocalyptic number.

12512000160 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 12512000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23466143610).

12512000160 is an abundant number, since it is smaller than the sum of its proper divisors (34420287060).

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

12512000160 is a wasteful number, since it uses less digits than its factorization.

12512000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71852 (or 71830 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12512000160 its reverse (6100021521), we get a palindrome (18612021681).

The spelling of 12512000160 in words is "twelve billion, five hundred twelve million, one hundred sixty", and thus it is an aban number.