12561135110240 has 48 divisors (see below), whose sum is σ = 29746170412560. Its totient is φ = 5012519447040.

The previous prime is 12561135110171. The next prime is 12561135110357. The reversal of 12561135110240 is 4201153116521.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12561135110197 and 12561135110206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93171470 + ... + 93306189.

It is an arithmetic number, because the mean of its divisors is an integer number (619711883595).

Almost surely, 2^{12561135110240} is an apocalyptic number.

12561135110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12561135110240 is an abundant number, since it is smaller than the sum of its proper divisors (17185035302320).

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

12561135110240 is a wasteful number, since it uses less digits than its factorization.

12561135110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186478095 (or 186478087 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 12561135110240 its reverse (4201153116521), we get a palindrome (16762288226761).

The spelling of 12561135110240 in words is "twelve trillion, five hundred sixty-one billion, one hundred thirty-five million, one hundred ten thousand, two hundred forty".