11005211124 has 60 divisors (see below), whose sum is σ = 28838489988. Its totient is φ = 3659644800.

The previous prime is 11005211123. The next prime is 11005211167. The reversal of 11005211124 is 42111250011.

11005211124 is a `hidden beast` number, since 110 + 0 + 521 + 11 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5688176400 + 5317034724 = 75420^2 + 72918^2 .

It is a super-2 number, since 2×11005211124² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11005211097 and 11005211106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005211123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96064 + ... + 176744.

Almost surely, 2^11005211124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11005211124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419244994).

11005211124 is an abundant number, since it is smaller than the sum of its proper divisors (17833278864).

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

11005211124 is a wasteful number, since it uses less digits than its factorization.

11005211124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81118 (or 81107 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 11005211124 its reverse (42111250011), we get a palindrome (53116461135).

The spelling of 11005211124 in words is "eleven billion, five million, two hundred eleven thousand, one hundred twenty-four".