1005200012 has 12 divisors (see below), whose sum is σ = 1759325400. Its totient is φ = 502535616.

The previous prime is 1005200011. The next prime is 1005200023. The reversal of 1005200012 is 2100025001.

1005200012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1005199966 and 1005200002.

It is not an unprimeable number, because it can be changed into a prime (1005200011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43739 + ... + 62637.

It is an arithmetic number, because the mean of its divisors is an integer number (146610450).

Almost surely, 2^1005200012 is an apocalyptic number.

It is an amenable number.

1005200012 is a deficient number, since it is larger than the sum of its proper divisors (754125388).

1005200012 is a wasteful number, since it uses less digits than its factorization.

1005200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32200 (or 32198 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1005200012 is about 31704.8894021096. The cubic root of 1005200012 is about 1001.7303415246.

Adding to 1005200012 its reverse (2100025001), we get a palindrome (3105225013).

The spelling of 1005200012 in words is "one billion, five million, two hundred thousand, twelve".