212313023023200 has 1152 divisors, whose sum is σ = 817444815183360. Its totient is φ = 47307939840000.

The previous prime is 212313023023187. The next prime is 212313023023201. The reversal of 212313023023200 is 2320320313212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212313023023201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3722345082 + ... + 3722402118.

It is an arithmetic number, because the mean of its divisors is an integer number (709587513180).

Almost surely, 2^{212313023023200} is an apocalyptic number.

212313023023200 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 212313023023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408722407591680).

212313023023200 is an abundant number, since it is smaller than the sum of its proper divisors (605131792160160).

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

212313023023200 is a wasteful number, since it uses less digits than its factorization.

212313023023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57312 (or 57299 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 212313023023200 its reverse (2320320313212), we get a palindrome (214633343336412).

The spelling of 212313023023200 in words is "two hundred twelve trillion, three hundred thirteen billion, twenty-three million, twenty-three thousand, two hundred".