212120000220200 has 96 divisors (see below), whose sum is σ = 497867844418560. Its totient is φ = 84041571187200.

The previous prime is 212120000220197. The next prime is 212120000220223. The reversal of 212120000220200 is 2022000021212.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 133409084 + ... + 134989716.

It is an arithmetic number, because the mean of its divisors is an integer number (5186123379360).

Almost surely, 2^{212120000220200} is an apocalyptic number.

212120000220200 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 212120000220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248933922209280).

212120000220200 is an abundant number, since it is smaller than the sum of its proper divisors (285747844198360).

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

212120000220200 is a wasteful number, since it uses less digits than its factorization.

212120000220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587027 (or 1587018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212120000220200 its reverse (2022000021212), we get a palindrome (214142000241412).

The spelling of 212120000220200 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred twenty thousand, two hundred".