12607142710240 has 96 divisors (see below), whose sum is σ = 32076510774336. Its totient is φ = 4654795468800.

The previous prime is 12607142710223. The next prime is 12607142710291. The reversal of 12607142710240 is 4201724170621.

12607142710240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12607142710240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80840340 + ... + 80996140.

It is an arithmetic number, because the mean of its divisors is an integer number (334130320566).

Almost surely, 2^{12607142710240} is an apocalyptic number.

12607142710240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12607142710240 is an abundant number, since it is smaller than the sum of its proper divisors (19469368064096).

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

12607142710240 is a wasteful number, since it uses less digits than its factorization.

12607142710240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194732 (or 194724 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

Adding to 12607142710240 its reverse (4201724170621), we get a palindrome (16808866880861).

The spelling of 12607142710240 in words is "twelve trillion, six hundred seven billion, one hundred forty-two million, seven hundred ten thousand, two hundred forty".