12033013123000 has 256 divisors, whose sum is σ = 29398007808000. Its totient is φ = 4604378688000.

The previous prime is 12033013122959. The next prime is 12033013123003. The reversal of 12033013123000 is 32131033021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033013123003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1469048905 + ... + 1469057095.

It is an arithmetic number, because the mean of its divisors is an integer number (114835968000).

Almost surely, 2^{12033013123000} is an apocalyptic number.

12033013123000 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 12033013123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699003904000).

12033013123000 is an abundant number, since it is smaller than the sum of its proper divisors (17364994685000).

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

12033013123000 is a wasteful number, since it uses less digits than its factorization.

12033013123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8703 (or 8689 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 12033013123000 its reverse (32131033021), we get a palindrome (12065144156021).

The spelling of 12033013123000 in words is "twelve trillion, thirty-three billion, thirteen million, one hundred twenty-three thousand".