3122938119168 has 1408 divisors, whose sum is σ = 11750725877760. Its totient is φ = 798810439680.

The previous prime is 3122938119163. The next prime is 3122938119181. The reversal of 3122938119168 is 8619118392213.

It is a happy number.

3122938119168 is a `hidden beast` number, since 3 + 12 + 2 + 9 + 381 + 191 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3122938119163) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6833562396 + ... + 6833562852.

Almost surely, 2^{3122938119168} 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 3122938119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875362938880).

3122938119168 is an abundant number, since it is smaller than the sum of its proper divisors (8627787758592).

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

3122938119168 is a wasteful number, since it uses less digits than its factorization.

3122938119168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 584 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 3122938119168 in words is "three trillion, one hundred twenty-two billion, nine hundred thirty-eight million, one hundred nineteen thousand, one hundred sixty-eight".