3331211003120 has 320 divisors, whose sum is σ = 10541439304704. Its totient is φ = 945299496960.

The previous prime is 3331211003117. The next prime is 3331211003177. The reversal of 3331211003120 is 213001121333.

It is a super-2 number, since 2×3331211003120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3331211003092 and 3331211003101.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5560919 + ... + 6130761.

Almost surely, 2^{3331211003120} 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 3331211003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270719652352).

3331211003120 is an abundant number, since it is smaller than the sum of its proper divisors (7210228301584).

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

3331211003120 is a wasteful number, since it uses less digits than its factorization.

3331211003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569960 (or 569954 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3331211003120 its reverse (213001121333), we get a palindrome (3544212124453).

The spelling of 3331211003120 in words is "three trillion, three hundred thirty-one billion, two hundred eleven million, three thousand, one hundred twenty".