3120311234040 has 512 divisors, whose sum is σ = 12632421795840. Its totient is φ = 595458662400.

The previous prime is 3120311234039. The next prime is 3120311234063. The reversal of 3120311234040 is 404321130213.

It is a happy number.

3120311234040 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3120311234040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23597710 + ... + 23729570.

It is an arithmetic number, because the mean of its divisors is an integer number (24672698820).

Almost surely, 2^{3120311234040} is an apocalyptic number.

3120311234040 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 3120311234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316210897920).

3120311234040 is an abundant number, since it is smaller than the sum of its proper divisors (9512110561800).

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

3120311234040 is a wasteful number, since it uses less digits than its factorization.

3120311234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132103 (or 132099 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3120311234040 its reverse (404321130213), we get a palindrome (3524632364253).

The spelling of 3120311234040 in words is "three trillion, one hundred twenty billion, three hundred eleven million, two hundred thirty-four thousand, forty".