212404112200 has 288 divisors, whose sum is σ = 631005595200. Its totient is φ = 65990453760.

The previous prime is 212404112183. The next prime is 212404112209. The reversal of 212404112200 is 2211404212.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (212404112209) 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, 4257802 + ... + 4307398.

It is an arithmetic number, because the mean of its divisors is an integer number (2190991650).

Almost surely, 2^212404112200 is an apocalyptic number.

212404112200 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 212404112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315502797600).

212404112200 is an abundant number, since it is smaller than the sum of its proper divisors (418601483000).

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

212404112200 is a wasteful number, since it uses less digits than its factorization.

212404112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49669 (or 49653 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 212404112200 its reverse (2211404212), we get a palindrome (214615516412).

The spelling of 212404112200 in words is "two hundred twelve billion, four hundred four million, one hundred twelve thousand, two hundred".