3303032122000 has 320 divisors, whose sum is σ = 8655325398720. Its totient is φ = 1211922432000.

The previous prime is 3303032121913. The next prime is 3303032122057. The reversal of 3303032122000 is 2212303033.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 3242419651584 + 60612470416 = 1800672^2 + 246196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4082857596 + ... + 4082858404.

It is an arithmetic number, because the mean of its divisors is an integer number (27047891871).

Almost surely, 2^{3303032122000} 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 3303032122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327662699360).

3303032122000 is an abundant number, since it is smaller than the sum of its proper divisors (5352293276720).

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

3303032122000 is a wasteful number, since it uses less digits than its factorization.

3303032122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 3303032122000 its reverse (2212303033), we get a palindrome (3305244425033).

The spelling of 3303032122000 in words is "three trillion, three hundred three billion, thirty-two million, one hundred twenty-two thousand".