12033002223000 has 1280 divisors, whose sum is σ = 47341805322240. Its totient is φ = 2825673984000.

The previous prime is 12033002222993. The next prime is 12033002223061. The reversal of 12033002223000 is 32220033021.

It is a happy number.

12033002223000 is a `hidden beast` number, since 12 + 0 + 330 + 0 + 2 + 22 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4865749764 + ... + 4865752236.

It is an arithmetic number, because the mean of its divisors is an integer number (36985785408).

Almost surely, 2^{12033002223000} is an apocalyptic number.

12033002223000 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 12033002223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23670902661120).

12033002223000 is an abundant number, since it is smaller than the sum of its proper divisors (35308803099240).

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

12033002223000 is a wasteful number, since it uses less digits than its factorization.

12033002223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12033002223000 its reverse (32220033021), we get a palindrome (12065222256021).

The spelling of 12033002223000 in words is "twelve trillion, thirty-three billion, two million, two hundred twenty-three thousand".