212313323011200 has 384 divisors, whose sum is σ = 700316843371200. Its totient is φ = 56535185817600.

The previous prime is 212313323011183. The next prime is 212313323011291. The reversal of 212313323011200 is 2110323313212.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 29442975595 + ... + 29442982805.

Almost surely, 2^{212313323011200} is an apocalyptic number.

212313323011200 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 212313323011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350158421685600).

212313323011200 is an abundant number, since it is smaller than the sum of its proper divisors (488003520360000).

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

212313323011200 is a wasteful number, since it uses less digits than its factorization.

212313323011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11240 (or 11223 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 212313323011200 its reverse (2110323313212), we get a palindrome (214423646324412).

The spelling of 212313323011200 in words is "two hundred twelve trillion, three hundred thirteen billion, three hundred twenty-three million, eleven thousand, two hundred".