3301001122120 has 128 divisors (see below), whose sum is σ = 8178935718240. Its totient is φ = 1191514521600.

The previous prime is 3301001122117. The next prime is 3301001122141. The reversal of 3301001122120 is 212211001033.

It can be written as a sum of positive squares in 16 ways, for example, as 161747143684 + 3139253978436 = 402178^2 + 1771794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3301001122094 and 3301001122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7417920 + ... + 7850320.

Almost surely, 2^{3301001122120} 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 3301001122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089467859120).

3301001122120 is an abundant number, since it is smaller than the sum of its proper divisors (4877934596120).

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

3301001122120 is a wasteful number, since it uses less digits than its factorization.

3301001122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432755 (or 432751 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3301001122120 its reverse (212211001033), we get a palindrome (3513212123153).

The spelling of 3301001122120 in words is "three trillion, three hundred one billion, one million, one hundred twenty-two thousand, one hundred twenty".