312712416 has 144 divisors (see below), whose sum is σ = 982878624. Its totient is φ = 93806592.

The previous prime is 312712397. The next prime is 312712417. The reversal of 312712416 is 614217213.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 312712416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312712417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111220 + ... + 113996.

It is an arithmetic number, because the mean of its divisors is an integer number (6825546).

Almost surely, 2^312712416 is an apocalyptic number.

312712416 is a gapful number since it is divisible by the number (36) 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 312712416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491439312).

312712416 is an abundant number, since it is smaller than the sum of its proper divisors (670166208).

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

312712416 is a wasteful number, since it uses less digits than its factorization.

312712416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2822 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 312712416 is about 17683.6765408102. The cubic root of 312712416 is about 678.7581255196.

Adding to 312712416 its reverse (614217213), we get a palindrome (926929629).

The spelling of 312712416 in words is "three hundred twelve million, seven hundred twelve thousand, four hundred sixteen".