3123322121220 has 864 divisors, whose sum is σ = 11061764663040. Its totient is φ = 656267673600.

The previous prime is 3123322121197. The next prime is 3123322121239. The reversal of 3123322121220 is 221212233213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7788833020 + ... + 7788833420.

It is an arithmetic number, because the mean of its divisors is an integer number (12802968360).

Almost surely, 2^{3123322121220} is an apocalyptic number.

3123322121220 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 3123322121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530882331520).

3123322121220 is an abundant number, since it is smaller than the sum of its proper divisors (7938442541820).

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

3123322121220 is a wasteful number, since it uses less digits than its factorization.

3123322121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3123322121220 its reverse (221212233213), we get a palindrome (3344534354433).

The spelling of 3123322121220 in words is "three trillion, one hundred twenty-three billion, three hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".