12104776882288 has 160 divisors (see below), whose sum is σ = 25127671726080. Its totient is φ = 5635686481920.

The previous prime is 12104776882283. The next prime is 12104776882301. The reversal of 12104776882288 is 88228867740121.

It is a super-2 number, since 2×12104776882288² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12104776882283) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5406330673 + ... + 5406332911.

It is an arithmetic number, because the mean of its divisors is an integer number (157047948288).

Almost surely, 2^{12104776882288} 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 12104776882288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563835863040).

12104776882288 is an abundant number, since it is smaller than the sum of its proper divisors (13022894843792).

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

12104776882288 is a wasteful number, since it uses less digits than its factorization.

12104776882288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 64.

The spelling of 12104776882288 in words is "twelve trillion, one hundred four billion, seven hundred seventy-six million, eight hundred eighty-two thousand, two hundred eighty-eight".