12033133013000 has 256 divisors, whose sum is σ = 31316516524800. Its totient is φ = 4290700800000.

The previous prime is 12033133012993. The next prime is 12033133013039. The reversal of 12033133013000 is 31033133021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260225882 + ... + 260272118.

It is an arithmetic number, because the mean of its divisors is an integer number (122330142675).

Almost surely, 2^{12033133013000} is an apocalyptic number.

12033133013000 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 12033133013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658258262400).

12033133013000 is an abundant number, since it is smaller than the sum of its proper divisors (19283383511800).

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

12033133013000 is a wasteful number, since it uses less digits than its factorization.

12033133013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46729 (or 46715 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 12033133013000 its reverse (31033133021), we get a palindrome (12064166146021).

The spelling of 12033133013000 in words is "twelve trillion, thirty-three billion, one hundred thirty-three million, thirteen thousand".