12073129120 has 96 divisors (see below), whose sum is σ = 30776472720. Its totient is φ = 4449116160.

The previous prime is 12073129097. The next prime is 12073129141. The reversal of 12073129120 is 2192137021.

12073129120 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 8 ways, for example, as 3808864656 + 8264264464 = 61716^2 + 90908^2 .

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 15 ways as a sum of consecutive naturals, for example, 1119916 + ... + 1130644.

Almost surely, 2^12073129120 is an apocalyptic number.

12073129120 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 12073129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15388236360).

12073129120 is an abundant number, since it is smaller than the sum of its proper divisors (18703343600).

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

12073129120 is a wasteful number, since it uses less digits than its factorization.

12073129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298 (or 11290 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 12073129120 in words is "twelve billion, seventy-three million, one hundred twenty-nine thousand, one hundred twenty".