12111000444 has 144 divisors (see below), whose sum is σ = 33825617280. Its totient is φ = 3777969600.

The previous prime is 12111000427. The next prime is 12111000457. The reversal of 12111000444 is 44400011121.

12111000444 is a `hidden beast` number, since 1 + 211 + 10 + 0 + 0 + 444 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1528894 + ... + 1536794.

It is an arithmetic number, because the mean of its divisors is an integer number (234900120).

Almost surely, 2^12111000444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111000444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912808640).

12111000444 is an abundant number, since it is smaller than the sum of its proper divisors (21714616836).

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

12111000444 is a wasteful number, since it uses less digits than its factorization.

12111000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12111000444 its reverse (44400011121), we get a palindrome (56511011565).

The spelling of 12111000444 in words is "twelve billion, one hundred eleven million, four hundred forty-four", and thus it is an aban number.