3122181120 has 352 divisors, whose sum is σ = 10564485120. Its totient is φ = 785940480.

The previous prime is 3122181113. The next prime is 3122181133. The reversal of 3122181120 is 211812213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37616599 + ... + 37616681.

Almost surely, 2^3122181120 is an apocalyptic number.

3122181120 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 3122181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282242560).

3122181120 is an abundant number, since it is smaller than the sum of its proper divisors (7442304000).

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

3122181120 is a wasteful number, since it uses less digits than its factorization.

3122181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 3122181120 is about 55876.4809199720. The cubic root of 3122181120 is about 1461.5691392552.

Adding to 3122181120 its reverse (211812213), we get a palindrome (3333993333).

The spelling of 3122181120 in words is "three billion, one hundred twenty-two million, one hundred eighty-one thousand, one hundred twenty".