213230221231200 has 288 divisors, whose sum is σ = 711099664021152. Its totient is φ = 55466188800000.

The previous prime is 213230221231171. The next prime is 213230221231201. The reversal of 213230221231200 is 2132122032312.

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 (213230221231201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 668271700 + ... + 668590700.

It is an arithmetic number, because the mean of its divisors is an integer number (2469096055629).

Almost surely, 2^{213230221231200} is an apocalyptic number.

213230221231200 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 213230221231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355549832010576).

213230221231200 is an abundant number, since it is smaller than the sum of its proper divisors (497869442789952).

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

213230221231200 is a wasteful number, since it uses less digits than its factorization.

213230221231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325858 (or 325845 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213230221231200 its reverse (2132122032312), we get a palindrome (215362343263512).

The spelling of 213230221231200 in words is "two hundred thirteen trillion, two hundred thirty billion, two hundred twenty-one million, two hundred thirty-one thousand, two hundred".