334411221312 has 168 divisors, whose sum is σ = 1130800067072. Its totient is φ = 92463897600.

The previous prime is 334411221311. The next prime is 334411221367. The reversal of 334411221312 is 213122114433.

334411221312 is a `hidden beast` number, since 3 + 3 + 441 + 1 + 2 + 213 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×334411221312² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334411221311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212739 + ... + 1462722.

Almost surely, 2^334411221312 is an apocalyptic number.

334411221312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

334411221312 is an abundant number, since it is smaller than the sum of its proper divisors (796388845760).

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

334411221312 is a wasteful number, since it uses less digits than its factorization.

334411221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675517 (or 2675504 counting only the distinct ones).

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

Adding to 334411221312 its reverse (213122114433), we get a palindrome (547533335745).

The spelling of 334411221312 in words is "three hundred thirty-four billion, four hundred eleven million, two hundred twenty-one thousand, three hundred twelve".