213237521200 has 240 divisors, whose sum is σ = 596437254144. Its totient is φ = 72401817600.

The previous prime is 213237521177. The next prime is 213237521207. The reversal of 213237521200 is 2125732312.

213237521200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213237521207) 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 47 ways as a sum of consecutive naturals, for example, 9488377 + ... + 9510823.

Almost surely, 2^213237521200 is an apocalyptic number.

213237521200 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 213237521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298218627072).

213237521200 is an abundant number, since it is smaller than the sum of its proper divisors (383199732944).

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

213237521200 is a wasteful number, since it uses less digits than its factorization.

213237521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22620 (or 22609 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

It can be divided in two parts, 213237 and 521200, that added together give a palindrome (734437).

The spelling of 213237521200 in words is "two hundred thirteen billion, two hundred thirty-seven million, five hundred twenty-one thousand, two hundred".