12801305088 has 240 divisors, whose sum is σ = 43406659296. Its totient is φ = 3580600320.

The previous prime is 12801305047. The next prime is 12801305093. The reversal of 12801305088 is 88050310821.

12801305088 is a `hidden beast` number, since 12 + 8 + 0 + 130 + 508 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649231 + ... + 668657.

Almost surely, 2^12801305088 is an apocalyptic number.

12801305088 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 12801305088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21703329648).

12801305088 is an abundant number, since it is smaller than the sum of its proper divisors (30605354208).

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

12801305088 is a wasteful number, since it uses less digits than its factorization.

12801305088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19475 (or 19456 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 12801305088 in words is "twelve billion, eight hundred one million, three hundred five thousand, eighty-eight".