312005124144 has 120 divisors (see below), whose sum is σ = 1030112259072. Its totient is φ = 86268689280.

The previous prime is 312005124121. The next prime is 312005124191. The reversal of 312005124144 is 441421500213.

312005124144 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 0 + 512 + 4 + 144 = 666.

It is a super-3 number, since 3×312005124144³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4961154 + ... + 5023649.

Almost surely, 2^312005124144 is an apocalyptic number.

It is an amenable number.

312005124144 is an abundant number, since it is smaller than the sum of its proper divisors (718107134928).

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

312005124144 is a wasteful number, since it uses less digits than its factorization.

312005124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9984855 (or 9984846 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 312005124144 its reverse (441421500213), we get a palindrome (753426624357).

The spelling of 312005124144 in words is "three hundred twelve billion, five million, one hundred twenty-four thousand, one hundred forty-four".