12825122048 has 72 divisors (see below), whose sum is σ = 27177330600. Its totient is φ = 6019481600.

The previous prime is 12825122047. The next prime is 12825122117. The reversal of 12825122048 is 84022152821.

It can be written as a sum of positive squares in 4 ways, for example, as 8845026304 + 3980095744 = 94048^2 + 63088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12825121999 and 12825122017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12825122047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1741478 + ... + 1748826.

It is an arithmetic number, because the mean of its divisors is an integer number (377462925).

Almost surely, 2^12825122048 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 12825122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13588665300).

12825122048 is an abundant number, since it is smaller than the sum of its proper divisors (14352208552).

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

12825122048 is an equidigital number, since it uses as much as digits as its factorization.

12825122048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

Adding to 12825122048 its reverse (84022152821), we get a palindrome (96847274869).

The spelling of 12825122048 in words is "twelve billion, eight hundred twenty-five million, one hundred twenty-two thousand, forty-eight".