310305314412 has 144 divisors (see below), whose sum is σ = 815732736000. Its totient is φ = 99353485440.

The previous prime is 310305314411. The next prime is 310305314441. The reversal of 310305314412 is 214413503013.

It is a happy number.

310305314412 is a `hidden beast` number, since 3 + 1 + 0 + 305 + 314 + 41 + 2 = 666.

310305314412 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (310305314411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106376778 + ... + 106379694.

Almost surely, 2^310305314412 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 310305314412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407866368000).

310305314412 is an abundant number, since it is smaller than the sum of its proper divisors (505427421588).

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

310305314412 is a wasteful number, since it uses less digits than its factorization.

310305314412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 310305314412 its reverse (214413503013), we get a palindrome (524718817425).

The spelling of 310305314412 in words is "three hundred ten billion, three hundred five million, three hundred fourteen thousand, four hundred twelve".