11001220221012 has 144 divisors (see below), whose sum is σ = 31705032078720. Its totient is φ = 2950069936128.

The previous prime is 11001220220987. The next prime is 11001220221023. The reversal of 11001220221012 is 21012202210011.

It is a junction number, because it is equal to n+sod(n) for n = 11001220220982 and 11001220221000.

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, 2055748 + ... + 5121380.

It is an arithmetic number, because the mean of its divisors is an integer number (220173833880).

Almost surely, 2^{11001220221012} is an apocalyptic number.

11001220221012 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 11001220221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852516039360).

11001220221012 is an abundant number, since it is smaller than the sum of its proper divisors (20703811857708).

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

11001220221012 is a wasteful number, since it uses less digits than its factorization.

11001220221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066030 (or 3066021 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11001220221012 its reverse (21012202210011), we get a palindrome (32013422431023).

The spelling of 11001220221012 in words is "eleven trillion, one billion, two hundred twenty million, two hundred twenty-one thousand, twelve".