12133021130112 has 128 divisors (see below), whose sum is σ = 32446268870400. Its totient is φ = 4016999577600.

The previous prime is 12133021130033. The next prime is 12133021130119. The reversal of 12133021130112 is 21103112033121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133021130119) by changing a digit.

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, 776803839 + ... + 776819457.

It is an arithmetic number, because the mean of its divisors is an integer number (253486475550).

Almost surely, 2^{12133021130112} is an apocalyptic number.

12133021130112 is a gapful number since it is divisible by the number (12) 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 12133021130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16223134435200).

12133021130112 is an abundant number, since it is smaller than the sum of its proper divisors (20313247740288).

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

12133021130112 is a wasteful number, since it uses less digits than its factorization.

12133021130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29184 (or 29172 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12133021130112 its reverse (21103112033121), we get a palindrome (33236133163233).

The spelling of 12133021130112 in words is "twelve trillion, one hundred thirty-three billion, twenty-one million, one hundred thirty thousand, one hundred twelve".