12510872010 has 224 divisors, whose sum is σ = 41557783680. Its totient is φ = 2639516544.

The previous prime is 12510871987. The next prime is 12510872029. The reversal of 12510872010 is 1027801521.

12510872010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 111 ways as a sum of consecutive naturals, for example, 653961 + ... + 672819.

It is an arithmetic number, because the mean of its divisors is an integer number (185525820).

Almost surely, 2^12510872010 is an apocalyptic number.

12510872010 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 12510872010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20778891840).

12510872010 is an abundant number, since it is smaller than the sum of its proper divisors (29046911670).

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

12510872010 is a wasteful number, since it uses less digits than its factorization.

12510872010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18904 (or 18889 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 12510872010 in words is "twelve billion, five hundred ten million, eight hundred seventy-two thousand, ten".