3123113040 has 120 divisors (see below), whose sum is σ = 10498656168. Its totient is φ = 832020480.

The previous prime is 3123113039. The next prime is 3123113047. The reversal of 3123113040 is 403113213.

3123113040 is a `hidden beast` number, since 312 + 311 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25522704 + 3097590336 = 5052^2 + 55656^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123113047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1278220 + ... + 1280660.

Almost surely, 2^3123113040 is an apocalyptic number.

3123113040 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 3123113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249328084).

3123113040 is an abundant number, since it is smaller than the sum of its proper divisors (7375543128).

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

3123113040 is a wasteful number, since it uses less digits than its factorization.

3123113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3123113040 is about 55884.8194056311. The cubic root of 3123113040 is about 1461.7145429505.

Adding to 3123113040 its reverse (403113213), we get a palindrome (3526226253).

The spelling of 3123113040 in words is "three billion, one hundred twenty-three million, one hundred thirteen thousand, forty".