12400800242688 has 528 divisors, whose sum is σ = 43517734696800. Its totient is φ = 3349132738560.

The previous prime is 12400800242653. The next prime is 12400800242749. The reversal of 12400800242688 is 88624200800421.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 38056518 + ... + 38380986.

Almost surely, 2^{12400800242688} is an apocalyptic number.

12400800242688 is a gapful number since it is divisible by the number (18) 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 12400800242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21758867348400).

12400800242688 is an abundant number, since it is smaller than the sum of its proper divisors (31116934454112).

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

12400800242688 is a wasteful number, since it uses less digits than its factorization.

12400800242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324548 (or 324527 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 12400800242688 in words is "twelve trillion, four hundred billion, eight hundred million, two hundred forty-two thousand, six hundred eighty-eight".