20033223012000 has 1152 divisors, whose sum is σ = 79151576474880. Its totient is φ = 4757621760000.

The previous prime is 20033223011909. The next prime is 20033223012017. The reversal of 20033223012000 is 21032233002.

It is a happy number.

20033223012000 is a `hidden beast` number, since 20 + 0 + 3 + 322 + 301 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6497962459 + ... + 6497965541.

It is an arithmetic number, because the mean of its divisors is an integer number (68707965690).

Almost surely, 2^{20033223012000} is an apocalyptic number.

20033223012000 is a gapful number since it is divisible by the number (20) 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 20033223012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39575788237440).

20033223012000 is an abundant number, since it is smaller than the sum of its proper divisors (59118353462880).

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

20033223012000 is a wasteful number, since it uses less digits than its factorization.

20033223012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3434 counting only the distinct ones).

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

Adding to 20033223012000 its reverse (21032233002), we get a palindrome (20054255245002).

The spelling of 20033223012000 in words is "twenty trillion, thirty-three billion, two hundred twenty-three million, twelve thousand".