12260824288768 has 640 divisors, whose sum is σ = 29435963977728. Its totient is φ = 5047418880000.

The previous prime is 12260824288759. The next prime is 12260824288831. The reversal of 12260824288768 is 86788242806221.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 63 ways as a sum of consecutive naturals, for example, 18776147130 + ... + 18776147782.

Almost surely, 2^{12260824288768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12260824288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14717981988864).

12260824288768 is an abundant number, since it is smaller than the sum of its proper divisors (17175139688960).

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

12260824288768 is a wasteful number, since it uses less digits than its factorization.

12260824288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 64.

The spelling of 12260824288768 in words is "twelve trillion, two hundred sixty billion, eight hundred twenty-four million, two hundred eighty-eight thousand, seven hundred sixty-eight".