234241210000 has 400 divisors, whose sum is σ = 674963942400. Its totient is φ = 77055552000.

The previous prime is 234241209997. The next prime is 234241210033. The reversal of 234241210000 is 12142432.

234241210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 234241210000.

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 79 ways as a sum of consecutive naturals, for example, 177589341 + ... + 177590659.

It is an arithmetic number, because the mean of its divisors is an integer number (1687409856).

Almost surely, 2^234241210000 is an apocalyptic number.

234241210000 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 234241210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337481971200).

234241210000 is an abundant number, since it is smaller than the sum of its proper divisors (440722732400).

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

234241210000 is a wasteful number, since it uses less digits than its factorization.

234241210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 234241210000 its reverse (12142432), we get a palindrome (234253352432).

The spelling of 234241210000 in words is "two hundred thirty-four billion, two hundred forty-one million, two hundred ten thousand".