11211221120000 has 330 divisors, whose sum is σ = 30783010559994. Its totient is φ = 4076779520000.

The previous prime is 11211221119927. The next prime is 11211221120023. The reversal of 11211221120000 is 2112211211.

It can be written as a sum of positive squares in 5 ways, for example, as 4282449470464 + 6928771649536 = 2069408^2 + 2632256^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77367614 + ... + 77512386.

Almost surely, 2^{11211221120000} is an apocalyptic number.

11211221120000 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 11211221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15391505279997).

11211221120000 is an abundant number, since it is smaller than the sum of its proper divisors (19571789439994).

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

11211221120000 is an equidigital number, since it uses as much as digits as its factorization.

11211221120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144835 (or 144791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11211221120000 its reverse (2112211211), we get a palindrome (11213333331211).

The spelling of 11211221120000 in words is "eleven trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty thousand".