11001111000012 has 144 divisors (see below), whose sum is σ = 33183828541920. Its totient is φ = 3142618020864.

The previous prime is 11001111000001. The next prime is 11001111000023. The reversal of 11001111000012 is 21000011110011.

It is an interprime number because it is at equal distance from previous prime (11001111000001) and next prime (11001111000023).

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

It is a junction number, because it is equal to n+sod(n) for n = 11001110999958 and 11001111000003.

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 47 ways as a sum of consecutive naturals, for example, 30179028 + ... + 30541380.

Almost surely, 2^{11001111000012} is an apocalyptic number.

11001111000012 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 11001111000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16591914270960).

11001111000012 is an abundant number, since it is smaller than the sum of its proper divisors (22182717541908).

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

11001111000012 is a wasteful number, since it uses less digits than its factorization.

11001111000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368117 (or 368102 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11001111000012 its reverse (21000011110011), we get a palindrome (32001122110023).

The spelling of 11001111000012 in words is "eleven trillion, one billion, one hundred eleven million, twelve", and thus it is an aban number.