210212202212012 has 192 divisors, whose sum is σ = 499262083676160. Its totient is φ = 75410292798720.

The previous prime is 210212202211987. The next prime is 210212202212059.

210212202212012 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191793689 + ... + 192886607.

It is an arithmetic number, because the mean of its divisors is an integer number (2600323352480).

Almost surely, 2^{210212202212012} is an apocalyptic number.

210212202212012 is a gapful number since it is divisible by the number (22) 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 210212202212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249631041838080).

210212202212012 is an abundant number, since it is smaller than the sum of its proper divisors (289049881464148).

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

210212202212012 is a wasteful number, since it uses less digits than its factorization.

210212202212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093373 (or 1093349 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 21021220 and 2212012, that added together give a palindrome (23233232).

The spelling of 210212202212012 in words is "two hundred ten trillion, two hundred twelve billion, two hundred two million, two hundred twelve thousand, twelve".