12133133221320 has 192 divisors, whose sum is σ = 39644668177920. Its totient is φ = 3218115059712.

The previous prime is 12133133221309. The next prime is 12133133221327. The reversal of 12133133221320 is 2312233133121.

12133133221320 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 1 + 332 + 2 + 1 + 320 = 666.

12133133221320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12133133221327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442365447 + ... + 442392873.

It is an arithmetic number, because the mean of its divisors is an integer number (206482646760).

Almost surely, 2^{12133133221320} is an apocalyptic number.

12133133221320 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 12133133221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19822334088960).

12133133221320 is an abundant number, since it is smaller than the sum of its proper divisors (27511534956600).

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

12133133221320 is a wasteful number, since it uses less digits than its factorization.

12133133221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34004 (or 33997 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12133133221320 its reverse (2312233133121), we get a palindrome (14445366354441).

The spelling of 12133133221320 in words is "twelve trillion, one hundred thirty-three billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred twenty".