11122103311000 has 128 divisors (see below), whose sum is σ = 28393550602560. Its totient is φ = 4044137088000.

The previous prime is 11122103310883. The next prime is 11122103311001. The reversal of 11122103311000 is 11330122111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122103311001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265442052 + ... + 265483948.

Almost surely, 2^{11122103311000} is an apocalyptic number.

11122103311000 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 11122103311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196775301280).

11122103311000 is an abundant number, since it is smaller than the sum of its proper divisors (17271447291560).

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

11122103311000 is a wasteful number, since it uses less digits than its factorization.

11122103311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66062 (or 66048 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11122103311000 its reverse (11330122111), we get a palindrome (11133433433111).

The spelling of 11122103311000 in words is "eleven trillion, one hundred twenty-two billion, one hundred three million, three hundred eleven thousand".