1005012014312 has 32 divisors (see below), whose sum is σ = 1919480720520. Its totient is φ = 493186544640.

The previous prime is 1005012014269. The next prime is 1005012014323. The reversal of 1005012014312 is 2134102105001.

It can be written as a sum of positive squares in 4 ways, for example, as 600243760516 + 404768253796 = 774754^2 + 636214^2 .

It is a super-2 number, since 2×1005012014312² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2030213 + ... + 2476244.

Almost surely, 2^{1005012014312} is an apocalyptic number.

It is an amenable number.

1005012014312 is a deficient number, since it is larger than the sum of its proper divisors (914468706208).

1005012014312 is a wasteful number, since it uses less digits than its factorization.

1005012014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506981 (or 4506977 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 1005012014312 its reverse (2134102105001), we get a palindrome (3139114119313).

The spelling of 1005012014312 in words is "one trillion, five billion, twelve million, fourteen thousand, three hundred twelve".