3123120440000 has 560 divisors, whose sum is σ = 8950254001920. Its totient is φ = 1068986880000.

The previous prime is 3123120439987. The next prime is 3123120440021. The reversal of 3123120440000 is 440213213.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 79 ways as a sum of consecutive naturals, for example, 1396118882 + ... + 1396121118.

It is an arithmetic number, because the mean of its divisors is an integer number (15982596432).

Almost surely, 2^{3123120440000} 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 3123120440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475127000960).

3123120440000 is an abundant number, since it is smaller than the sum of its proper divisors (5827133561920).

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

3123120440000 is a wasteful number, since it uses less digits than its factorization.

3123120440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2441 counting only the distinct ones).

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

Adding to 3123120440000 its reverse (440213213), we get a palindrome (3123560653213).

The spelling of 3123120440000 in words is "three trillion, one hundred twenty-three billion, one hundred twenty million, four hundred forty thousand".