12133232031132 has 96 divisors (see below), whose sum is σ = 31816396684800. Its totient is φ = 3998160144000.

The previous prime is 12133232031121. The next prime is 12133232031169. The reversal of 12133232031132 is 23113023233121.

12133232031132 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 323 + 20 + 311 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12133232031096 and 12133232031105.

It is a congruent number.

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, 48425257 + ... + 48675167.

It is an arithmetic number, because the mean of its divisors is an integer number (331420798800).

Almost surely, 2^{12133232031132} is an apocalyptic number.

12133232031132 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 12133232031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15908198342400).

12133232031132 is an abundant number, since it is smaller than the sum of its proper divisors (19683164653668).

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

12133232031132 is a wasteful number, since it uses less digits than its factorization.

12133232031132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255064 (or 255056 counting only the distinct ones).

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

Adding to 12133232031132 its reverse (23113023233121), we get a palindrome (35246255264253).

The spelling of 12133232031132 in words is "twelve trillion, one hundred thirty-three billion, two hundred thirty-two million, thirty-one thousand, one hundred thirty-two".