212311023200 has 72 divisors (see below), whose sum is σ = 518817918528. Its totient is φ = 84840250880.

The previous prime is 212311023193. The next prime is 212311023241. The reversal of 212311023200 is 2320113212.

212311023200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 679409 + ... + 941391.

It is an arithmetic number, because the mean of its divisors is an integer number (7205804424).

Almost surely, 2^212311023200 is an apocalyptic number.

212311023200 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 212311023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259408959264).

212311023200 is an abundant number, since it is smaller than the sum of its proper divisors (306506895328).

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

212311023200 is a wasteful number, since it uses less digits than its factorization.

212311023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263016 (or 263003 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212311023200 its reverse (2320113212), we get a palindrome (214631136412).

The spelling of 212311023200 in words is "two hundred twelve billion, three hundred eleven million, twenty-three thousand, two hundred".