12133438009360 has 80 divisors (see below), whose sum is σ = 28515507680880. Its totient is φ = 4801001932800.

The previous prime is 12133438009321. The next prime is 12133438009373. The reversal of 12133438009360 is 6390083433121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9197577216 + 12124240432144 = 95904^2 + 3481988^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4210410 + ... + 6480310.

It is an arithmetic number, because the mean of its divisors is an integer number (356443846011).

Almost surely, 2^{12133438009360} is an apocalyptic number.

12133438009360 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 12133438009360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257753840440).

12133438009360 is an abundant number, since it is smaller than the sum of its proper divisors (16382069671520).

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

12133438009360 is a wasteful number, since it uses less digits than its factorization.

12133438009360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270636 (or 2270630 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 12133438009360 in words is "twelve trillion, one hundred thirty-three billion, four hundred thirty-eight million, nine thousand, three hundred sixty".