11001220000000 has 144 divisors (see below), whose sum is σ = 27449312737392. Its totient is φ = 4400480000000.

The previous prime is 11001219999923. The next prime is 11001220000039. The reversal of 11001220000000 is 2210011.

It can be written as a sum of positive squares in 8 ways, for example, as 10152227297536 + 848992702464 = 3186256^2 + 921408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19724970 + ... + 20275030.

It is an arithmetic number, because the mean of its divisors is an integer number (190620227343).

Almost surely, 2^{11001220000000} is an apocalyptic number.

11001220000000 is a gapful number since it is divisible by the number (10) 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 11001220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724656368696).

11001220000000 is an abundant number, since it is smaller than the sum of its proper divisors (16448092737392).

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

11001220000000 is an frugal number, since it uses more digits than its factorization.

11001220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550112 (or 550068 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11001220000000 its reverse (2210011), we get a palindrome (11001222210011).

The spelling of 11001220000000 in words is "eleven trillion, one billion, two hundred twenty million", and thus it is an aban number.