23212133200 has 90 divisors (see below), whose sum is σ = 59240831546. Its totient is φ = 8738641920.

The previous prime is 23212133143. The next prime is 23212133207. The reversal of 23212133200 is 233121232.

It can be written as a sum of positive squares in 9 ways, for example, as 602800704 + 22609332496 = 24552^2 + 150364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212133207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15202 + ... + 215998.

Almost surely, 2^23212133200 is an apocalyptic number.

23212133200 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 23212133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29620415773).

23212133200 is an abundant number, since it is smaller than the sum of its proper divisors (36028698346).

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

23212133200 is a wasteful number, since it uses less digits than its factorization.

23212133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200849 (or 200821 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23212133200 its reverse (233121232), we get a palindrome (23445254432).

The spelling of 23212133200 in words is "twenty-three billion, two hundred twelve million, one hundred thirty-three thousand, two hundred".