11221120000000 has 448 divisors, whose sum is σ = 28510186779360. Its totient is φ = 4415488000000.

The previous prime is 11221119999959. The next prime is 11221120000003. The reversal of 11221120000000 is 2112211.

It can be written as a sum of positive squares in 16 ways, for example, as 11191326478336 + 29793521664 = 3345344^2 + 172608^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11221120000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56959999902 + ... + 56960000098.

Almost surely, 2^{11221120000000} is an apocalyptic number.

11221120000000 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 11221120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255093389680).

11221120000000 is an abundant number, since it is smaller than the sum of its proper divisors (17289066779360).

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

11221120000000 is an frugal number, since it uses more digits than its factorization.

11221120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11221120000000 its reverse (2112211), we get a palindrome (11221122112211).

The spelling of 11221120000000 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty million", and thus it is an aban number.