12321582120 has 48 divisors (see below), whose sum is σ = 40045143060. Its totient is φ = 3285755136.

The previous prime is 12321582079. The next prime is 12321582131. The reversal of 12321582120 is 2128512321.

12321582120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12125973924 + 195608196 = 110118^2 + 13986^2 .

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 11 ways as a sum of consecutive naturals, for example, 17112949 + ... + 17113668.

Almost surely, 2^12321582120 is an apocalyptic number.

12321582120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321582120 is an abundant number, since it is smaller than the sum of its proper divisors (27723560940).

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

12321582120 is a wasteful number, since it uses less digits than its factorization.

12321582120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34226634 (or 34226627 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

It can be divided in two parts, 12321 and 582120, that added together give a square (594441 = 771²).

The spelling of 12321582120 in words is "twelve billion, three hundred twenty-one million, five hundred eighty-two thousand, one hundred twenty".