12880103040 has 1536 divisors, whose sum is σ = 60491059200. Its totient is φ = 2452488192.

The previous prime is 12880103009. The next prime is 12880103077. The reversal of 12880103040 is 4030108821.

It is a junction number, because it is equal to n+sod(n) for n = 12880102995 and 12880103013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 299537259 + ... + 299537301.

It is an arithmetic number, because the mean of its divisors is an integer number (39382200).

Almost surely, 2^12880103040 is an apocalyptic number.

12880103040 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 12880103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30245529600).

12880103040 is an abundant number, since it is smaller than the sum of its proper divisors (47610956160).

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

12880103040 is a wasteful number, since it uses less digits than its factorization.

12880103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12880103040 in words is "twelve billion, eight hundred eighty million, one hundred three thousand, forty".