11121133120 has 28 divisors (see below), whose sum is σ = 26482199004. Its totient is φ = 4448453120.

The previous prime is 11121133103. The next prime is 11121133141. The reversal of 11121133120 is 2133112111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6487335936 + 4633797184 = 80544^2 + 68072^2 .

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 = 11121133094 and 11121133103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17376451 + ... + 17377090.

Almost surely, 2^11121133120 is an apocalyptic number.

11121133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121133120 is an abundant number, since it is smaller than the sum of its proper divisors (15361065884).

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

11121133120 is an equidigital number, since it uses as much as digits as its factorization.

11121133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34753558 (or 34753548 counting only the distinct ones).

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

Adding to 11121133120 its reverse (2133112111), we get a palindrome (13254245231).

The spelling of 11121133120 in words is "eleven billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred twenty".