111066000012 has 192 divisors, whose sum is σ = 331846502400. Its totient is φ = 31770480960.

The previous prime is 111066000011. The next prime is 111066000047. The reversal of 111066000012 is 210000660111.

111066000012 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 660 + 0 + 0 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111066000011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6379183 + ... + 6396569.

It is an arithmetic number, because the mean of its divisors is an integer number (1728367200).

Almost surely, 2^111066000012 is an apocalyptic number.

111066000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111066000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165923251200).

111066000012 is an abundant number, since it is smaller than the sum of its proper divisors (220780502388).

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

111066000012 is a wasteful number, since it uses less digits than its factorization.

111066000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17713 (or 17705 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111066000012 its reverse (210000660111), we get a palindrome (321066660123).

The spelling of 111066000012 in words is "one hundred eleven billion, sixty-six million, twelve", and thus it is an aban number.