334212314112 has 110 divisors (see below), whose sum is σ = 998023557938. Its totient is φ = 111404077056.

The previous prime is 334212314101. The next prime is 334212314123. The reversal of 334212314112 is 211413212433.

334212314112 is a `hidden beast` number, since 3 + 3 + 4 + 212 + 31 + 411 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (334212314101) and next prime (334212314123).

It can be written as a sum of positive squares in only one way, i.e., 311524724736 + 22687589376 = 558144^2 + 150624^2 .

It is a super-3 number, since 3×334212314112³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1931743 + ... + 2097630.

Almost surely, 2^334212314112 is an apocalyptic number.

334212314112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

334212314112 is an abundant number, since it is smaller than the sum of its proper divisors (663811243826).

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

334212314112 is an equidigital number, since it uses as much as digits as its factorization.

334212314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029405 (or 4029378 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 334212314112 its reverse (211413212433), we get a palindrome (545625526545).

The spelling of 334212314112 in words is "three hundred thirty-four billion, two hundred twelve million, three hundred fourteen thousand, one hundred twelve".