3322322333120 has 224 divisors, whose sum is σ = 9227433074688. Its totient is φ = 1115724460032.

The previous prime is 3322322333119. The next prime is 3322322333137. The reversal of 3322322333120 is 213332232233.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3322322333120² (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 31 ways as a sum of consecutive naturals, for example, 72039989 + ... + 72086091.

Almost surely, 2^{3322322333120} 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 3322322333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613716537344).

3322322333120 is an abundant number, since it is smaller than the sum of its proper divisors (5905110741568).

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

3322322333120 is a wasteful number, since it uses less digits than its factorization.

3322322333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46787 (or 46777 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 3322322333120 its reverse (213332232233), we get a palindrome (3535654565353).

The spelling of 3322322333120 in words is "three trillion, three hundred twenty-two billion, three hundred twenty-two million, three hundred thirty-three thousand, one hundred twenty".