11000001001120 has 96 divisors (see below), whose sum is σ = 26126267661648. Its totient is φ = 4376512954368.

The previous prime is 11000001001117. The next prime is 11000001001141. The reversal of 11000001001120 is 2110010000011.

It can be written as a sum of positive squares in 8 ways, for example, as 2003096734864 + 8996904266256 = 1415308^2 + 2999484^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 225306952 + ... + 225355768.

Almost surely, 2^{11000001001120} is an apocalyptic number.

11000001001120 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 11000001001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063133830824).

11000001001120 is an abundant number, since it is smaller than the sum of its proper divisors (15126266660528).

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

11000001001120 is a wasteful number, since it uses less digits than its factorization.

11000001001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56322 (or 56314 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11000001001120 its reverse (2110010000011), we get a palindrome (13110011001131).

The spelling of 11000001001120 in words is "eleven trillion, one million, one thousand, one hundred twenty".