12909255300144 has 560 divisors, whose sum is σ = 45467919724032. Its totient is φ = 3464564078592.

The previous prime is 12909255300131. The next prime is 12909255300157. The reversal of 12909255300144 is 44100355290921.

It is a happy number.

12909255300144 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 92 + 553 + 0 + 0 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12909255300131) and next prime (12909255300157).

It is a self number, because there is not a number n which added to its sum of digits gives 12909255300144.

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 111 ways as a sum of consecutive naturals, for example, 725923477 + ... + 725941259.

Almost surely, 2^{12909255300144} is an apocalyptic number.

12909255300144 is a gapful number since it is divisible by the number (14) 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 12909255300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22733959862016).

12909255300144 is an abundant number, since it is smaller than the sum of its proper divisors (32558664423888).

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

12909255300144 is a wasteful number, since it uses less digits than its factorization.

12909255300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18356 (or 18335 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 12909255300144 in words is "twelve trillion, nine hundred nine billion, two hundred fifty-five million, three hundred thousand, one hundred forty-four".