12133306560 has 224 divisors, whose sum is σ = 39670329600. Its totient is φ = 3140186112.

The previous prime is 12133306531. The next prime is 12133306613. The reversal of 12133306560 is 6560333121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7140591 + ... + 7142289.

Almost surely, 2^12133306560 is an apocalyptic number.

12133306560 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 12133306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835164800).

12133306560 is an abundant number, since it is smaller than the sum of its proper divisors (27537023040).

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

12133306560 is a wasteful number, since it uses less digits than its factorization.

12133306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 12133306560 its reverse (6560333121), we get a palindrome (18693639681).

The spelling of 12133306560 in words is "twelve billion, one hundred thirty-three million, three hundred six thousand, five hundred sixty".