12541540240 has 20 divisors (see below), whose sum is σ = 29159081244. Its totient is φ = 5016616064.

The previous prime is 12541540201. The next prime is 12541540241. The reversal of 12541540240 is 4204514521.

12541540240 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 2940675984 + 9600864256 = 54228^2 + 97984^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 12541540199 and 12541540208.

It is not an unprimeable number, because it can be changed into a prime (12541540241) 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 3 ways as a sum of consecutive naturals, for example, 78384547 + ... + 78384706.

Almost surely, 2^12541540240 is an apocalyptic number.

12541540240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12541540240 is an abundant number, since it is smaller than the sum of its proper divisors (16617541004).

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

12541540240 is a wasteful number, since it uses less digits than its factorization.

12541540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156769266 (or 156769260 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 12541540240 in words is "twelve billion, five hundred forty-one million, five hundred forty thousand, two hundred forty".