12506250240 has 396 divisors, whose sum is σ = 47652637032. Its totient is φ = 3030466560.

The previous prime is 12506250227. The next prime is 12506250241. The reversal of 12506250240 is 4205260521.

12506250240 is a `hidden beast` number, since 12 + 5 + 0 + 625 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12506250241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5574559 + ... + 5576801.

It is an arithmetic number, because the mean of its divisors is an integer number (120334942).

Almost surely, 2^12506250240 is an apocalyptic number.

12506250240 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 12506250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23826318516).

12506250240 is an abundant number, since it is smaller than the sum of its proper divisors (35146386792).

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

12506250240 is a wasteful number, since it uses less digits than its factorization.

12506250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 12506250240 in words is "twelve billion, five hundred six million, two hundred fifty thousand, two hundred forty".