312712224 has 48 divisors (see below), whose sum is σ = 895497120. Its totient is φ = 94760960.

The previous prime is 312712219. The next prime is 312712237. The reversal of 312712224 is 422217213.

312712224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 312712194 and 312712203.

It is an unprimeable number.

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, 147009 + ... + 149120.

It is an arithmetic number, because the mean of its divisors is an integer number (18656190).

Almost surely, 2^312712224 is an apocalyptic number.

It is an amenable number.

312712224 is an abundant number, since it is smaller than the sum of its proper divisors (582784896).

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

312712224 is a wasteful number, since it uses less digits than its factorization.

312712224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296153 (or 296145 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 312712224 is about 17683.6711120740. The cubic root of 312712224 is about 678.7579866043.

Adding to 312712224 its reverse (422217213), we get a palindrome (734929437).

It can be divided in two parts, 3127 and 12224, that added together give a palindrome (15351).

The spelling of 312712224 in words is "three hundred twelve million, seven hundred twelve thousand, two hundred twenty-four".