11000111120 has 80 divisors (see below), whose sum is σ = 27104858928. Its totient is φ = 4137369600.

The previous prime is 11000111117. The next prime is 11000111141. The reversal of 11000111120 is 2111100011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 326741776 + 10673369344 = 18076^2 + 103312^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 = 11000111098 and 11000111107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1766252 + ... + 1772468.

Almost surely, 2^11000111120 is an apocalyptic number.

11000111120 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 11000111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552429464).

11000111120 is an abundant number, since it is smaller than the sum of its proper divisors (16104747808).

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

11000111120 is a wasteful number, since it uses less digits than its factorization.

11000111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548 (or 7542 counting only the distinct ones).

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

Adding to 11000111120 its reverse (2111100011), we get a palindrome (13111211131).

It can be divided in two parts, 110001 and 11120, that added together give a palindrome (121121).

The spelling of 11000111120 in words is "eleven billion, one hundred eleven thousand, one hundred twenty".