212313123211200 has 336 divisors, whose sum is σ = 759961614057984. Its totient is φ = 51464859852800.

The previous prime is 212313123211141. The next prime is 212313123211229. The reversal of 212313123211200 is 2112321313212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559860052 + ... + 560239148.

Almost surely, 2^{212313123211200} is an apocalyptic number.

212313123211200 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 212313123211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379980807028992).

212313123211200 is an abundant number, since it is smaller than the sum of its proper divisors (547648490846784).

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

212313123211200 is a wasteful number, since it uses less digits than its factorization.

212313123211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389740 (or 389725 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212313123211200 its reverse (2112321313212), we get a palindrome (214425444524412).

The spelling of 212313123211200 in words is "two hundred twelve trillion, three hundred thirteen billion, one hundred twenty-three million, two hundred eleven thousand, two hundred".