12000133132020 has 384 divisors, whose sum is σ = 41197321912320. Its totient is φ = 2875747069440.

The previous prime is 12000133131983. The next prime is 12000133132033. The reversal of 12000133132020 is 2023133100021.

12000133132020 is a `hidden beast` number, since 12 + 0 + 0 + 0 + 1 + 331 + 320 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12000133131984 and 12000133132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 208934547 + ... + 208991973.

It is an arithmetic number, because the mean of its divisors is an integer number (107284692480).

Almost surely, 2^{12000133132020} is an apocalyptic number.

12000133132020 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 12000133132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20598660956160).

12000133132020 is an abundant number, since it is smaller than the sum of its proper divisors (29197188780300).

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

12000133132020 is a wasteful number, since it uses less digits than its factorization.

12000133132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57860 (or 57852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12000133132020 its reverse (2023133100021), we get a palindrome (14023266232041).

The spelling of 12000133132020 in words is "twelve trillion, one hundred thirty-three million, one hundred thirty-two thousand, twenty".