12882012079104 has 693 divisors, whose sum is σ = 43797679409757. Its totient is φ = 3646808137728.

The previous prime is 12882012079099. The next prime is 12882012079109. The reversal of 12882012079104 is 40197021028821.

The square root of 12882012079104 is 3589152.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (12882012079099) and next prime (12882012079109).

It can be written as a sum of positive squares in only one way, i.e., 8978700616704 + 3903311462400 = 2996448^2 + 1975680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12882012079104.

It is not an unprimeable number, because it can be changed into a prime (12882012079109) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 118183597002 + ... + 118183597110.

Almost surely, 2^{12882012079104} is an apocalyptic number.

12882012079104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12882012079104 is the 3589152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12882012079104

12882012079104 is an abundant number, since it is smaller than the sum of its proper divisors (30915667330653).

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

12882012079104 is an frugal number, since it uses more digits than its factorization.

12882012079104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 12882012079104 in words is "twelve trillion, eight hundred eighty-two billion, twelve million, seventy-nine thousand, one hundred four".