334422220012020 has 288 divisors, whose sum is σ = 1174136431104000. Its totient is φ = 75463356264192.

The previous prime is 334422220011989. The next prime is 334422220012021. The reversal of 334422220012020 is 20210022224433.

334422220012020 is a `hidden beast` number, since 3 + 3 + 4 + 422 + 2 + 200 + 12 + 0 + 20 = 666.

It is a super-2 number, since 2×334422220012020² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334422220012021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914291131 + ... + 914656829.

It is an arithmetic number, because the mean of its divisors is an integer number (4076862608000).

Almost surely, 2^{334422220012020} is an apocalyptic number.

334422220012020 is a gapful number since it is divisible by the number (30) 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 334422220012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587068215552000).

334422220012020 is an abundant number, since it is smaller than the sum of its proper divisors (839714211091980).

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

334422220012020 is a wasteful number, since it uses less digits than its factorization.

334422220012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374987 (or 374982 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 334422220012020 its reverse (20210022224433), we get a palindrome (354632242236453).

The spelling of 334422220012020 in words is "three hundred thirty-four trillion, four hundred twenty-two billion, two hundred twenty million, twelve thousand, twenty".