21233000212032 has 224 divisors, whose sum is σ = 65778233923584. Its totient is φ = 5917911552000.

The previous prime is 21233000212027. The next prime is 21233000212033. The reversal of 21233000212032 is 23021200033212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (21233000212033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 627231907 + ... + 627265757.

It is an arithmetic number, because the mean of its divisors is an integer number (293652830016).

Almost surely, 2^{21233000212032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233000212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32889116961792).

21233000212032 is an abundant number, since it is smaller than the sum of its proper divisors (44545233711552).

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

21233000212032 is a wasteful number, since it uses less digits than its factorization.

21233000212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45297 (or 45287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21233000212032 its reverse (23021200033212), we get a palindrome (44254200245244).

The spelling of 21233000212032 in words is "twenty-one trillion, two hundred thirty-three billion, two hundred twelve thousand, thirty-two".