334220121444 has 288 divisors, whose sum is σ = 916199811072. Its totient is φ = 94620683520.

The previous prime is 334220121419. The next prime is 334220121449. The reversal of 334220121444 is 444121022433.

It is a super-2 number, since 2×334220121444² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334220121449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3244855497 + ... + 3244855599.

It is an arithmetic number, because the mean of its divisors is an integer number (3181249344).

Almost surely, 2^334220121444 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 334220121444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458099905536).

334220121444 is an abundant number, since it is smaller than the sum of its proper divisors (581979689628).

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

334220121444 is a wasteful number, since it uses less digits than its factorization.

334220121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 334220121444 its reverse (444121022433), we get a palindrome (778341143877).

The spelling of 334220121444 in words is "three hundred thirty-four billion, two hundred twenty million, one hundred twenty-one thousand, four hundred forty-four".