3121322420 has 48 divisors (see below), whose sum is σ = 6877226496. Its totient is φ = 1188432000.

The previous prime is 3121322353. The next prime is 3121322437. The reversal of 3121322420 is 242231213.

3121322420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3121322392 and 3121322401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3446 + ... + 79085.

It is an arithmetic number, because the mean of its divisors is an integer number (143275552).

Almost surely, 2^3121322420 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 3121322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438613248).

3121322420 is an abundant number, since it is smaller than the sum of its proper divisors (3755904076).

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

3121322420 is a wasteful number, since it uses less digits than its factorization.

3121322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82632 (or 82630 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3121322420 is about 55868.7964788933. The cubic root of 3121322420 is about 1461.4351341640.

Adding to 3121322420 its reverse (242231213), we get a palindrome (3363553633).

The spelling of 3121322420 in words is "three billion, one hundred twenty-one million, three hundred twenty-two thousand, four hundred twenty".