3333122222304 has 288 divisors, whose sum is σ = 10255192738560. Its totient is φ = 945115250688.

The previous prime is 3333122222281. The next prime is 3333122222317. The reversal of 3333122222304 is 4032222213333.

It is a happy number.

It is a super-2 number, since 2×3333122222304² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398551627 + ... + 398559989.

It is an arithmetic number, because the mean of its divisors is an integer number (35608308120).

Almost surely, 2^{3333122222304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3333122222304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127596369280).

3333122222304 is an abundant number, since it is smaller than the sum of its proper divisors (6922070516256).

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

3333122222304 is a wasteful number, since it uses less digits than its factorization.

3333122222304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9022 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 3333122222304 its reverse (4032222213333), we get a palindrome (7365344435637).

The spelling of 3333122222304 in words is "three trillion, three hundred thirty-three billion, one hundred twenty-two million, two hundred twenty-two thousand, three hundred four".