12511520840 has 192 divisors, whose sum is σ = 35400078000. Its totient is φ = 3944650752.

The previous prime is 12511520831. The next prime is 12511520849. The reversal of 12511520840 is 4802511521.

12511520840 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 (12511520831) and next prime (12511520849).

It can be written as a sum of positive squares in 8 ways, for example, as 331749796 + 12179771044 = 18214^2 + 110362^2 .

It is not an unprimeable number, because it can be changed into a prime (12511520849) 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 47 ways as a sum of consecutive naturals, for example, 8076386 + ... + 8077934.

Almost surely, 2^12511520840 is an apocalyptic number.

12511520840 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 12511520840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17700039000).

12511520840 is an abundant number, since it is smaller than the sum of its proper divisors (22888557160).

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

12511520840 is a wasteful number, since it uses less digits than its factorization.

12511520840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The spelling of 12511520840 in words is "twelve billion, five hundred eleven million, five hundred twenty thousand, eight hundred forty".