11121021120 has 224 divisors, whose sum is σ = 38904281856. Its totient is φ = 2669056000.

The previous prime is 11121021089. The next prime is 11121021151. The reversal of 11121021120 is 2112012111.

It is an interprime number because it is at equal distance from previous prime (11121021089) and next prime (11121021151).

It is a super-2 number, since 2×11121021120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11121021096 and 11121021105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061347 + ... + 1071773.

Almost surely, 2^11121021120 is an apocalyptic number.

11121021120 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 11121021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452140928).

11121021120 is an abundant number, since it is smaller than the sum of its proper divisors (27783260736).

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

11121021120 is a wasteful number, since it uses less digits than its factorization.

11121021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121021120 its reverse (2112012111), we get a palindrome (13233033231).

Subtracting from 11121021120 its reverse (2112012111), we obtain a palindrome (9009009009).

The spelling of 11121021120 in words is "eleven billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty".