212211103033200 has 480 divisors, whose sum is σ = 718153789461760. Its totient is φ = 53417163571200.

The previous prime is 212211103033187. The next prime is 212211103033201. The reversal of 212211103033200 is 2330301112212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211103033201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14135148894 + ... + 14135163906.

Almost surely, 2^{212211103033200} is an apocalyptic number.

212211103033200 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 212211103033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359076894730880).

212211103033200 is an abundant number, since it is smaller than the sum of its proper divisors (505942686428560).

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

212211103033200 is a wasteful number, since it uses less digits than its factorization.

212211103033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17257 (or 17246 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212211103033200 its reverse (2330301112212), we get a palindrome (214541404145412).

The spelling of 212211103033200 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred three million, thirty-three thousand, two hundred".