12826533120 has 144 divisors (see below), whose sum is σ = 41836919040. Its totient is φ = 3347587072.

The previous prime is 12826533113. The next prime is 12826533121. The reversal of 12826533120 is 2133562821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12826533121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144946 + ... + 216014.

It is an arithmetic number, because the mean of its divisors is an integer number (290534160).

Almost surely, 2^12826533120 is an apocalyptic number.

12826533120 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 12826533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918459520).

12826533120 is an abundant number, since it is smaller than the sum of its proper divisors (29010385920).

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

12826533120 is an equidigital number, since it uses as much as digits as its factorization.

12826533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71140 (or 71126 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12826533120 in words is "twelve billion, eight hundred twenty-six million, five hundred thirty-three thousand, one hundred twenty".