12872108040 has 128 divisors (see below), whose sum is σ = 42339456000. Its totient is φ = 3104766720.

The previous prime is 12872107999. The next prime is 12872108143. The reversal of 12872108040 is 4080127821.

It is a happy number.

12872108040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12872107992 and 12872108010.

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 31 ways as a sum of consecutive naturals, for example, 238179 + ... + 287181.

It is an arithmetic number, because the mean of its divisors is an integer number (330777000).

Almost surely, 2^12872108040 is an apocalyptic number.

12872108040 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 12872108040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21169728000).

12872108040 is an abundant number, since it is smaller than the sum of its proper divisors (29467347960).

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

12872108040 is a wasteful number, since it uses less digits than its factorization.

12872108040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49227 (or 49223 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 12872108040 in words is "twelve billion, eight hundred seventy-two million, one hundred eight thousand, forty".