213205247200 has 288 divisors, whose sum is σ = 600876541440. Its totient is φ = 73057075200.

The previous prime is 213205247191. The next prime is 213205247231. The reversal of 213205247200 is 2742502312.

It is a super-2 number, since 2×213205247200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32266297 + ... + 32272903.

It is an arithmetic number, because the mean of its divisors is an integer number (2086376880).

Almost surely, 2^213205247200 is an apocalyptic number.

213205247200 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 213205247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300438270720).

213205247200 is an abundant number, since it is smaller than the sum of its proper divisors (387671294240).

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

213205247200 is a wasteful number, since it uses less digits than its factorization.

213205247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6850 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 213205247200 its reverse (2742502312), we get a palindrome (215947749512).

The spelling of 213205247200 in words is "two hundred thirteen billion, two hundred five million, two hundred forty-seven thousand, two hundred".