11001121000 has 192 divisors, whose sum is σ = 27131719680. Its totient is φ = 4174329600.

The previous prime is 11001120997. The next prime is 11001121003. The reversal of 11001121000 is 12110011.

It is an interprime number because it is at equal distance from previous prime (11001120997) and next prime (11001121003).

It is not an unprimeable number, because it can be changed into a prime (11001121003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 86622937 + ... + 86623063.

It is an arithmetic number, because the mean of its divisors is an integer number (141311040).

Almost surely, 2^11001121000 is an apocalyptic number.

11001121000 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 11001121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565859840).

11001121000 is an abundant number, since it is smaller than the sum of its proper divisors (16130598680).

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

11001121000 is a wasteful number, since it uses less digits than its factorization.

11001121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11001121000 its reverse (12110011), we get a palindrome (11013231011).

The spelling of 11001121000 in words is "eleven billion, one million, one hundred twenty-one thousand".