21233201000 has 96 divisors (see below), whose sum is σ = 54613508040. Its totient is φ = 7721120000.

The previous prime is 21233200997. The next prime is 21233201009. The reversal of 21233201000 is 10233212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1290677476 + 19942523524 = 35926^2 + 141218^2 .

It is not an unprimeable number, because it can be changed into a prime (21233201009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33260 + ... + 208740.

Almost surely, 2^21233201000 is an apocalyptic number.

21233201000 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 21233201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27306754020).

21233201000 is an abundant number, since it is smaller than the sum of its proper divisors (33380307040).

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

21233201000 is a wasteful number, since it uses less digits than its factorization.

21233201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175524 (or 175499 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21233201000 its reverse (10233212), we get a palindrome (21243434212).

The spelling of 21233201000 in words is "twenty-one billion, two hundred thirty-three million, two hundred one thousand".