312135113144320 has 192 divisors, whose sum is σ = 796249439818560. Its totient is φ = 117172290453504.

The previous prime is 312135113144303. The next prime is 312135113144333. The reversal of 312135113144320 is 23441311531213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20289 + ... + 24985408.

It is an arithmetic number, because the mean of its divisors is an integer number (4147132499055).

Almost surely, 2^{312135113144320} 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 312135113144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398124719909280).

312135113144320 is an abundant number, since it is smaller than the sum of its proper divisors (484114326674240).

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

312135113144320 is a wasteful number, since it uses less digits than its factorization.

312135113144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25005800 (or 25005780 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 312135113144320 its reverse (23441311531213), we get a palindrome (335576424675533).

The spelling of 312135113144320 in words is "three hundred twelve trillion, one hundred thirty-five billion, one hundred thirteen million, one hundred forty-four thousand, three hundred twenty".