11122321011200 has 240 divisors, whose sum is σ = 32862319712640. Its totient is φ = 3647567953920.

The previous prime is 11122321011173. The next prime is 11122321011259. The reversal of 11122321011200 is 211012322111.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637745 + ... + 4759344.

It is an arithmetic number, because the mean of its divisors is an integer number (136926332136).

Almost surely, 2^{11122321011200} is an apocalyptic number.

11122321011200 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 11122321011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16431159856320).

11122321011200 is an abundant number, since it is smaller than the sum of its proper divisors (21739998701440).

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

11122321011200 is an equidigital number, since it uses as much as digits as its factorization.

11122321011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397147 (or 5397126 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11122321011200 its reverse (211012322111), we get a palindrome (11333333333311).

The spelling of 11122321011200 in words is "eleven trillion, one hundred twenty-two billion, three hundred twenty-one million, eleven thousand, two hundred".