12303881441280 has 3328 divisors, whose sum is σ = 55571057095680. Its totient is φ = 2568423997440.

The previous prime is 12303881441251. The next prime is 12303881441281. The reversal of 12303881441280 is 8214418830321.

12303881441280 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 388 + 144 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12303881441281) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 108883906504 + ... + 108883906616.

Almost surely, 2^{12303881441280} is an apocalyptic number.

12303881441280 is a gapful number since it is divisible by the number (10) 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 12303881441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27785528547840).

12303881441280 is an abundant number, since it is smaller than the sum of its proper divisors (43267175654400).

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

12303881441280 is a wasteful number, since it uses less digits than its factorization.

12303881441280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 12303881441280 in words is "twelve trillion, three hundred three billion, eight hundred eighty-one million, four hundred forty-one thousand, two hundred eighty".