211220222200200 has 336 divisors, whose sum is σ = 738300139457280. Its totient is φ = 56171903172480.

The previous prime is 211220222200159. The next prime is 211220222200217. The reversal of 211220222200200 is 2002222022112.

211220222200200 is a `hidden beast` number, since 2 + 1 + 1 + 220 + 22 + 220 + 0 + 200 = 666.

It is a super-2 number, since 2×211220222200200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 51534897 + ... + 55482303.

Almost surely, 2^{211220222200200} is an apocalyptic number.

211220222200200 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 211220222200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369150069728640).

211220222200200 is an abundant number, since it is smaller than the sum of its proper divisors (527079917257080).

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

211220222200200 is a wasteful number, since it uses less digits than its factorization.

211220222200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947808 (or 3947784 counting only the distinct ones).

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

Adding to 211220222200200 its reverse (2002222022112), we get a palindrome (213222444222312).

The spelling of 211220222200200 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twenty-two million, two hundred thousand, two hundred".