212341201402400 has 288 divisors, whose sum is σ = 602547400748160. Its totient is φ = 71559936000000.

The previous prime is 212341201402243. The next prime is 212341201402427. The reversal of 212341201402400 is 4204102143212.

It is a self number, because there is not a number n which added to its sum of digits gives 212341201402400.

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, 3033367400 + ... + 3033437400.

It is an arithmetic number, because the mean of its divisors is an integer number (2092178474820).

Almost surely, 2^{212341201402400} is an apocalyptic number.

212341201402400 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 212341201402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301273700374080).

212341201402400 is an abundant number, since it is smaller than the sum of its proper divisors (390206199345760).

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

212341201402400 is a wasteful number, since it uses less digits than its factorization.

212341201402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79268 (or 79255 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 212341201402400 its reverse (4204102143212), we get a palindrome (216545303545612).

The spelling of 212341201402400 in words is "two hundred twelve trillion, three hundred forty-one billion, two hundred one million, four hundred two thousand, four hundred".