212230312111200 has 288 divisors, whose sum is σ = 721723031269632. Its totient is φ = 54068160256000.

The previous prime is 212230312111193. The next prime is 212230312111247. The reversal of 212230312111200 is 2111213032212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42977695 + ... + 47660705.

It is an arithmetic number, because the mean of its divisors is an integer number (2505982747464).

Almost surely, 2^{212230312111200} is an apocalyptic number.

212230312111200 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 212230312111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360861515634816).

212230312111200 is an abundant number, since it is smaller than the sum of its proper divisors (509492719158432).

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

212230312111200 is a wasteful number, since it uses less digits than its factorization.

212230312111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683878 (or 4683865 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 212230312111200 its reverse (2111213032212), we get a palindrome (214341525143412).

The spelling of 212230312111200 in words is "two hundred twelve trillion, two hundred thirty billion, three hundred twelve million, one hundred eleven thousand, two hundred".