212144414010200 has 96 divisors (see below), whose sum is σ = 564608675827200. Its totient is φ = 72617722957440.

The previous prime is 212144414010181. The next prime is 212144414010223. The reversal of 212144414010200 is 2010414441212.

It is a super-2 number, since 2×212144414010200² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212144414010200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121533824 + ... + 123267023.

It is an arithmetic number, because the mean of its divisors is an integer number (5881340373200).

Almost surely, 2^{212144414010200} is an apocalyptic number.

212144414010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212144414010200 is an abundant number, since it is smaller than the sum of its proper divisors (352464261817000).

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

212144414010200 is a wasteful number, since it uses less digits than its factorization.

212144414010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244801489 (or 244801480 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 212144414010200 its reverse (2010414441212), we get a palindrome (214154828451412).

The spelling of 212144414010200 in words is "two hundred twelve trillion, one hundred forty-four billion, four hundred fourteen million, ten thousand, two hundred".