212443130242000 has 320 divisors, whose sum is σ = 601558402798080. Its totient is φ = 71041245696000.

The previous prime is 212443130241997. The next prime is 212443130242019. The reversal of 212443130242000 is 242031344212.

It is a super-3 number, since 3×212443130242000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 212443130242000.

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 63 ways as a sum of consecutive naturals, for example, 2128916107 + ... + 2129015893.

It is an arithmetic number, because the mean of its divisors is an integer number (1879870008744).

Almost surely, 2^{212443130242000} is an apocalyptic number.

212443130242000 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 212443130242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300779201399040).

212443130242000 is an abundant number, since it is smaller than the sum of its proper divisors (389115272556080).

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

212443130242000 is a wasteful number, since it uses less digits than its factorization.

212443130242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103567 (or 103551 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 212443130242000 its reverse (242031344212), we get a palindrome (212685161586212).

The spelling of 212443130242000 in words is "two hundred twelve trillion, four hundred forty-three billion, one hundred thirty million, two hundred forty-two thousand".