11001122011000 has 128 divisors (see below), whose sum is σ = 28438345728000. Its totient is φ = 3949769616000.

The previous prime is 11001122010979. The next prime is 11001122011007. The reversal of 11001122011000 is 11022110011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001122011007) 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, 5460760 + ... + 7198759.

It is an arithmetic number, because the mean of its divisors is an integer number (222174576000).

Almost surely, 2^{11001122011000} is an apocalyptic number.

11001122011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001122011000 is an abundant number, since it is smaller than the sum of its proper divisors (17437223717000).

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

11001122011000 is a wasteful number, since it uses less digits than its factorization.

11001122011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12659630 (or 12659616 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11001122011000 its reverse (11022110011), we get a palindrome (11012144121011).

The spelling of 11001122011000 in words is "eleven trillion, one billion, one hundred twenty-two million, eleven thousand".