213220321200 has 180 divisors, whose sum is σ = 740168273520. Its totient is φ = 56840732160.

The previous prime is 213220321129. The next prime is 213220321217. The reversal of 213220321200 is 2123022312.

213220321200 is a `hidden beast` number, since 2 + 1 + 322 + 0 + 321 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14439421 + ... + 14454179.

It is an arithmetic number, because the mean of its divisors is an integer number (4112045964).

Almost surely, 2^213220321200 is an apocalyptic number.

213220321200 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 213220321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370084136760).

213220321200 is an abundant number, since it is smaller than the sum of its proper divisors (526947952320).

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

213220321200 is a wasteful number, since it uses less digits than its factorization.

213220321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18796 (or 18782 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213220321200 its reverse (2123022312), we get a palindrome (215343343512).

The spelling of 213220321200 in words is "two hundred thirteen billion, two hundred twenty million, three hundred twenty-one thousand, two hundred".