213213240022200 has 288 divisors, whose sum is σ = 741062935186560. Its totient is φ = 50291081510400.

The previous prime is 213213240022183. The next prime is 213213240022201. The reversal of 213213240022200 is 2220042312312.

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 (213213240022201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2763372 + ... + 20834171.

It is an arithmetic number, because the mean of its divisors is an integer number (2573135191620).

Almost surely, 2^{213213240022200} is an apocalyptic number.

213213240022200 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 213213240022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370531467593280).

213213240022200 is an abundant number, since it is smaller than the sum of its proper divisors (527849695164360).

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

213213240022200 is a wasteful number, since it uses less digits than its factorization.

213213240022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23597647 (or 23597601 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213213240022200 its reverse (2220042312312), we get a palindrome (215433282334512).

The spelling of 213213240022200 in words is "two hundred thirteen trillion, two hundred thirteen billion, two hundred forty million, twenty-two thousand, two hundred".