212012242200 has 288 divisors, whose sum is σ = 797731374960. Its totient is φ = 50007628800.

The previous prime is 212012242193. The next prime is 212012242201. The reversal of 212012242200 is 2242210212.

212012242200 is a `hidden beast` number, since 2 + 120 + 122 + 422 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012242201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 587902 + ... + 877298.

Almost surely, 2^212012242200 is an apocalyptic number.

212012242200 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 212012242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398865687480).

212012242200 is an abundant number, since it is smaller than the sum of its proper divisors (585719132760).

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

212012242200 is a wasteful number, since it uses less digits than its factorization.

212012242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289467 (or 289455 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212012242200 its reverse (2242210212), we get a palindrome (214254452412).

The spelling of 212012242200 in words is "two hundred twelve billion, twelve million, two hundred forty-two thousand, two hundred".