12000113 has 16 divisors (see below), whose sum is σ = 13329360. Its totient is φ = 10752000.

The previous prime is 12000097. The next prime is 12000127. The reversal of 12000113 is 31100021.

12000113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3659569 + 8340544 = 1913^2 + 2888^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000113 - 2⁴ = 12000097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12000113.

It is not an unprimeable number, because it can be changed into a prime (12000133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49673 + ... + 49913.

It is an arithmetic number, because the mean of its divisors is an integer number (833085).

Almost surely, 2^12000113 is an apocalyptic number.

It is an amenable number.

12000113 is a deficient number, since it is larger than the sum of its proper divisors (1329247).

12000113 is a wasteful number, since it uses less digits than its factorization.

12000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 12000113 is about 3464.1179252445. The cubic root of 12000113 is about 228.9435671346.

Adding to 12000113 its reverse (31100021), we get a palindrome (43100134).

The spelling of 12000113 in words is "twelve million, one hundred thirteen", and thus it is an aban number.