3331002321120 has 192 divisors, whose sum is σ = 10779016562496. Its totient is φ = 864037601280.

The previous prime is 3331002320993. The next prime is 3331002321139. The reversal of 3331002321120 is 211232001333.

It is a super-2 number, since 2×3331002321120² (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, 75653352 + ... + 75697368.

It is an arithmetic number, because the mean of its divisors is an integer number (56140711263).

Almost surely, 2^{3331002321120} is an apocalyptic number.

3331002321120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331002321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389508281248).

3331002321120 is an abundant number, since it is smaller than the sum of its proper divisors (7448014241376).

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

3331002321120 is a wasteful number, since it uses less digits than its factorization.

3331002321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48333 (or 48325 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3331002321120 its reverse (211232001333), we get a palindrome (3542234322453).

The spelling of 3331002321120 in words is "three trillion, three hundred thirty-one billion, two million, three hundred twenty-one thousand, one hundred twenty".