11001001001120 has 72 divisors (see below), whose sum is σ = 28142871491196. Its totient is φ = 4061908051968.

The previous prime is 11001001001063. The next prime is 11001001001141. The reversal of 11001001001120 is 2110010010011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2179839639184 + 8821161361936 = 1476428^2 + 2970044^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11001001001098 and 11001001001107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203393837 + ... + 203447916.

Almost surely, 2^{11001001001120} is an apocalyptic number.

11001001001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001001001120 is an abundant number, since it is smaller than the sum of its proper divisors (17141870490076).

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

11001001001120 is a wasteful number, since it uses less digits than its factorization.

11001001001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406841794 (or 406841773 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11001001001120 its reverse (2110010010011), we get a palindrome (13111011011131).

The spelling of 11001001001120 in words is "eleven trillion, one billion, one million, one thousand, one hundred twenty".