334222233120 has 288 divisors, whose sum is σ = 1260131064192. Its totient is φ = 80235995136.

The previous prime is 334222233109. The next prime is 334222233127. The reversal of 334222233120 is 21332222433.

334222233120 is a `hidden beast` number, since 3 + 3 + 422 + 2 + 233 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×334222233120³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (334222233127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266239 + ... + 859841.

It is an arithmetic number, because the mean of its divisors is an integer number (4375455084).

Almost surely, 2^334222233120 is an apocalyptic number.

334222233120 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 334222233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630065532096).

334222233120 is an abundant number, since it is smaller than the sum of its proper divisors (925908831072).

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

334222233120 is a wasteful number, since it uses less digits than its factorization.

334222233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593664 (or 593653 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 334222233120 its reverse (21332222433), we get a palindrome (355554455553).

The spelling of 334222233120 in words is "three hundred thirty-four billion, two hundred twenty-two million, two hundred thirty-three thousand, one hundred twenty".