12111001120 has 24 divisors (see below), whose sum is σ = 28612240524. Its totient is φ = 4844400384.

The previous prime is 12111001103. The next prime is 12111001159. The reversal of 12111001120 is 2110011121.

12111001120 is digitally balanced in base 2, 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 2 ways, for example, as 11701181584 + 409819536 = 108172^2 + 20244^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12111001097 and 12111001106.

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 3 ways as a sum of consecutive naturals, for example, 37846719 + ... + 37847038.

Almost surely, 2^12111001120 is an apocalyptic number.

12111001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111001120 is an abundant number, since it is smaller than the sum of its proper divisors (16501239404).

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

12111001120 is an equidigital number, since it uses as much as digits as its factorization.

12111001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75693772 (or 75693764 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12111001120 its reverse (2110011121), we get a palindrome (14221012241).

It can be divided in two parts, 12111001 and 120, that added together give a palindrome (12111121).

The spelling of 12111001120 in words is "twelve billion, one hundred eleven million, one thousand, one hundred twenty".