11121122000 has 80 divisors (see below), whose sum is σ = 26939092752. Its totient is φ = 4440473600.

The previous prime is 11121121951. The next prime is 11121122011. The reversal of 11121122000 is 22112111.

It can be written as a sum of positive squares in 8 ways, for example, as 5406366784 + 5714755216 = 73528^2 + 75596^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1181312 + ... + 1190688.

Almost surely, 2^11121122000 is an apocalyptic number.

11121122000 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 11121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469546376).

11121122000 is an abundant number, since it is smaller than the sum of its proper divisors (15817970752).

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

11121122000 is an equidigital number, since it uses as much as digits as its factorization.

11121122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11121122000 its reverse (22112111), we get a palindrome (11143234111).

The spelling of 11121122000 in words is "eleven billion, one hundred twenty-one million, one hundred twenty-two thousand".