334112414230020 has 192 divisors, whose sum is σ = 978347505623040. Its totient is φ = 85119371624448.

The previous prime is 334112414230013. The next prime is 334112414230027. The reversal of 334112414230020 is 20032414211433.

It is an interprime number because it is at equal distance from previous prime (334112414230013) and next prime (334112414230027).

It is a super-2 number, since 2×334112414230020² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 334112414230020.

It is not an unprimeable number, because it can be changed into a prime (334112414230027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21239686 + ... + 33456674.

It is an arithmetic number, because the mean of its divisors is an integer number (5095559925120).

Almost surely, 2^{334112414230020} is an apocalyptic number.

334112414230020 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 334112414230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489173752811520).

334112414230020 is an abundant number, since it is smaller than the sum of its proper divisors (644235091393020).

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

334112414230020 is a wasteful number, since it uses less digits than its factorization.

334112414230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12217262 (or 12217260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 334112414230020 its reverse (20032414211433), we get a palindrome (354144828441453).

The spelling of 334112414230020 in words is "three hundred thirty-four trillion, one hundred twelve billion, four hundred fourteen million, two hundred thirty thousand, twenty".