1200627076113 has 12 divisors (see below), whose sum is σ = 1734352887540. Its totient is φ = 800365538016.

The previous prime is 1200627076109. The next prime is 1200627076141. The reversal of 1200627076113 is 3116707260021.

It is a happy number.

1200627076113 is a `hidden beast` number, since 1 + 20 + 0 + 627 + 0 + 7 + 6 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 274551896529 + 926075179584 = 523977^2 + 962328^2 .

It is not a de Polignac number, because 1200627076113 - 2² = 1200627076109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1200627076183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4231006 + ... + 4505847.

It is an arithmetic number, because the mean of its divisors is an integer number (144529407295).

Almost surely, 2^{1200627076113} is an apocalyptic number.

It is an amenable number.

1200627076113 is a deficient number, since it is larger than the sum of its proper divisors (533725811427).

1200627076113 is a wasteful number, since it uses less digits than its factorization.

1200627076113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752128 (or 8752125 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 1200627076113 in words is "one trillion, two hundred billion, six hundred twenty-seven million, seventy-six thousand, one hundred thirteen".