212011222210200 has 576 divisors, whose sum is σ = 840856716011520. Its totient is φ = 46846888704000.

The previous prime is 212011222210187. The next prime is 212011222210273. The reversal of 212011222210200 is 2012222110212.

It is a happy number.

212011222210200 is a `hidden beast` number, since 2 + 1 + 20 + 11 + 222 + 210 + 200 = 666.

It is a super-5 number, since 5×212011222210200⁵ (a number of 73 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 369611620 + ... + 370184780.

It is an arithmetic number, because the mean of its divisors is an integer number (1459820687520).

Almost surely, 2^{212011222210200} is an apocalyptic number.

212011222210200 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 212011222210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420428358005760).

212011222210200 is an abundant number, since it is smaller than the sum of its proper divisors (628845493801320).

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

212011222210200 is a wasteful number, since it uses less digits than its factorization.

212011222210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574168 (or 574156 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212011222210200 its reverse (2012222110212), we get a palindrome (214023444320412).

The spelling of 212011222210200 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-two million, two hundred ten thousand, two hundred".