12800117408 has 48 divisors (see below), whose sum is σ = 27175044456. Its totient is φ = 5899837440.

The previous prime is 12800117399. The next prime is 12800117431. The reversal of 12800117408 is 80471100821.

12800117408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2106075664 + 10694041744 = 45892^2 + 103412^2 .

It is a super-3 number, since 3×12800117408³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 296360 + ... + 336792.

Almost surely, 2^12800117408 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 12800117408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587522228).

12800117408 is an abundant number, since it is smaller than the sum of its proper divisors (14374927048).

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

12800117408 is a wasteful number, since it uses less digits than its factorization.

12800117408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41217 (or 41209 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The spelling of 12800117408 in words is "twelve billion, eight hundred million, one hundred seventeen thousand, four hundred eight".