312111744 has 64 divisors (see below), whose sum is σ = 947490240. Its totient is φ = 89174016.

The previous prime is 312111731. The next prime is 312111749. The reversal of 312111744 is 447111213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (312111749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55369 + ... + 60744.

It is an arithmetic number, because the mean of its divisors is an integer number (14804535).

Almost surely, 2^312111744 is an apocalyptic number.

It is an amenable number.

312111744 is an abundant number, since it is smaller than the sum of its proper divisors (635378496).

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

312111744 is a wasteful number, since it uses less digits than its factorization.

312111744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116137 (or 116125 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 312111744 is about 17666.6845786073. The cubic root of 312111744 is about 678.3232506327.

Adding to 312111744 its reverse (447111213), we get a palindrome (759222957).

The spelling of 312111744 in words is "three hundred twelve million, one hundred eleven thousand, seven hundred forty-four".