11202111121120 has 96 divisors (see below), whose sum is σ = 26955007269120. Its totient is φ = 4398184919040.

The previous prime is 11202111121111. The next prime is 11202111121121. The reversal of 11202111121120 is 2112111120211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11202111121094 and 11202111121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202111121121) 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 15 ways as a sum of consecutive naturals, for example, 3476964 + ... + 5873116.

It is an arithmetic number, because the mean of its divisors is an integer number (280781325720).

Almost surely, 2^{11202111121120} is an apocalyptic number.

11202111121120 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 11202111121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13477503634560).

11202111121120 is an abundant number, since it is smaller than the sum of its proper divisors (15752896148000).

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

11202111121120 is a wasteful number, since it uses less digits than its factorization.

11202111121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396708 (or 2396700 counting only the distinct ones).

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

Adding to 11202111121120 its reverse (2112111120211), we get a palindrome (13314222241331).

Subtracting from 11202111121120 its reverse (2112111120211), we obtain a palindrome (9090000000909).

The spelling of 11202111121120 in words is "eleven trillion, two hundred two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".