12011102221120 has 28 divisors (see below), whose sum is σ = 28601437164804. Its totient is φ = 4804440888320.

The previous prime is 12011102221117. The next prime is 12011102221121. The reversal of 12011102221120 is 2112220111021.

12011102221120 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 8659742249536 + 3351359971584 = 2942744^2 + 1830672^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12011102221094 and 12011102221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011102221121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18767346901 + ... + 18767347540.

It is an arithmetic number, because the mean of its divisors is an integer number (1021479898743).

Almost surely, 2^{12011102221120} is an apocalyptic number.

12011102221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011102221120 is an abundant number, since it is smaller than the sum of its proper divisors (16590334943684).

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

12011102221120 is an equidigital number, since it uses as much as digits as its factorization.

12011102221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37534694458 (or 37534694448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12011102221120 its reverse (2112220111021), we get a palindrome (14123322332141).

The spelling of 12011102221120 in words is "twelve trillion, eleven billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".