212212220002200 has 288 divisors, whose sum is σ = 779498377482240. Its totient is φ = 51311062675200.

The previous prime is 212212220002163. The next prime is 212212220002283. The reversal of 212212220002200 is 2200022212212.

212212220002200 is a `hidden beast` number, since 2 + 1 + 221 + 2 + 220 + 0 + 0 + 220 + 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 an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6408492 + ... + 21575291.

It is an arithmetic number, because the mean of its divisors is an integer number (2706591588480).

Almost surely, 2^{212212220002200} is an apocalyptic number.

212212220002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212220002200 is an abundant number, since it is smaller than the sum of its proper divisors (567286157480040).

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

212212220002200 is a wasteful number, since it uses less digits than its factorization.

212212220002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27984199 (or 27984187 counting only the distinct ones).

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

Adding to 212212220002200 its reverse (2200022212212), we get a palindrome (214412242214412).

The spelling of 212212220002200 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred twenty million, two thousand, two hundred".