12000012012 has 36 divisors (see below), whose sum is σ = 30345227640. Its totient is φ = 3998439552.

The previous prime is 12000011861. The next prime is 12000012023. The reversal of 12000012012 is 21021000021.

12000012012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

12000012012 is a modest number, since divided by 12012 gives 12000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12000011985 and 12000012003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30043 + ... + 157805.

It is an arithmetic number, because the mean of its divisors is an integer number (842922990).

Almost surely, 2^12000012012 is an apocalyptic number.

12000012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000012012 is an abundant number, since it is smaller than the sum of its proper divisors (18345215628).

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

12000012012 is a wasteful number, since it uses less digits than its factorization.

12000012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130382 (or 130377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000012012 its reverse (21021000021), we get a palindrome (33021012033).

The spelling of 12000012012 in words is "twelve billion, twelve thousand, twelve".