312424042120 has 32 divisors (see below), whose sum is σ = 705870938520. Its totient is φ = 124451066880.

The previous prime is 312424042057. The next prime is 312424042129. The reversal of 312424042120 is 21240424213.

It can be written as a sum of positive squares in 4 ways, for example, as 268123053636 + 44300988484 = 517806^2 + 210478^2 .

It is not an unprimeable number, because it can be changed into a prime (312424042129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16194927 + ... + 16214206.

Almost surely, 2^312424042120 is an apocalyptic number.

It is an amenable number.

312424042120 is an abundant number, since it is smaller than the sum of its proper divisors (393446896400).

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

312424042120 is a wasteful number, since it uses less digits than its factorization.

312424042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32409385 (or 32409381 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 312424042120 its reverse (21240424213), we get a palindrome (333664466333).

The spelling of 312424042120 in words is "three hundred twelve billion, four hundred twenty-four million, forty-two thousand, one hundred twenty".