23201132323200 has 768 divisors, whose sum is σ = 87450445938240. Its totient is φ = 5355837849600.

The previous prime is 23201132323177. The next prime is 23201132323207. The reversal of 23201132323200 is 232323110232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201132323207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 596150142 + ... + 596189058.

Almost surely, 2^{23201132323200} is an apocalyptic number.

23201132323200 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 23201132323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43725222969120).

23201132323200 is an abundant number, since it is smaller than the sum of its proper divisors (64249313615040).

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

23201132323200 is a wasteful number, since it uses less digits than its factorization.

23201132323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39255 (or 39238 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23201132323200 its reverse (232323110232), we get a palindrome (23433455433432).

The spelling of 23201132323200 in words is "twenty-three trillion, two hundred one billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred".