12133569360 has 320 divisors, whose sum is σ = 41953386240. Its totient is φ = 2876375040.

The previous prime is 12133569337. The next prime is 12133569407. The reversal of 12133569360 is 6396533121.

12133569360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×12133569360⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 26550252 + ... + 26550708.

It is an arithmetic number, because the mean of its divisors is an integer number (131104332).

Almost surely, 2^12133569360 is an apocalyptic number.

12133569360 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 12133569360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20976693120).

12133569360 is an abundant number, since it is smaller than the sum of its proper divisors (29819816880).

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

12133569360 is a wasteful number, since it uses less digits than its factorization.

12133569360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 12133569360 in words is "twelve billion, one hundred thirty-three million, five hundred sixty-nine thousand, three hundred sixty".