334213222204000 has 384 divisors, whose sum is σ = 859306951286784. Its totient is φ = 127603641600000.

The previous prime is 334213222203979. The next prime is 334213222204009. The reversal of 334213222204000 is 402222312433.

It is a super-2 number, since 2×334213222204000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334213222204000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334213222204009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3293761267 + ... + 3293862733.

It is an arithmetic number, because the mean of its divisors is an integer number (2237778518976).

Almost surely, 2^{334213222204000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334213222204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429653475643392).

334213222204000 is an abundant number, since it is smaller than the sum of its proper divisors (525093729082784).

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

334213222204000 is a wasteful number, since it uses less digits than its factorization.

334213222204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101887 (or 101869 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 334213222204000 its reverse (402222312433), we get a palindrome (334615444516433).

The spelling of 334213222204000 in words is "three hundred thirty-four trillion, two hundred thirteen billion, two hundred twenty-two million, two hundred four thousand".