12130811280 has 240 divisors, whose sum is σ = 46629872640. Its totient is φ = 2768550912.

The previous prime is 12130811279. The next prime is 12130811293. The reversal of 12130811280 is 8211803121.

12130811280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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, 4348126 + ... + 4350914.

It is an arithmetic number, because the mean of its divisors is an integer number (194291136).

Almost surely, 2^12130811280 is an apocalyptic number.

12130811280 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 12130811280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23314936320).

12130811280 is an abundant number, since it is smaller than the sum of its proper divisors (34499061360).

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

12130811280 is a wasteful number, since it uses less digits than its factorization.

12130811280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 12130811280 in words is "twelve billion, one hundred thirty million, eight hundred eleven thousand, two hundred eighty".