11001124234044 has 144 divisors (see below), whose sum is σ = 32009465150208. Its totient is φ = 3120663262464.

The previous prime is 11001124234003. The next prime is 11001124234069. The reversal of 11001124234044 is 44043242110011.

11001124234044 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 11 + 242 + 3 + 404 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11001124233999 and 11001124234017.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 20104479 + ... + 20644425.

It is an arithmetic number, because the mean of its divisors is an integer number (222287952432).

Almost surely, 2^{11001124234044} is an apocalyptic number.

11001124234044 is a gapful number since it is divisible by the number (14) 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 11001124234044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16004732575104).

11001124234044 is an abundant number, since it is smaller than the sum of its proper divisors (21008340916164).

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

11001124234044 is a wasteful number, since it uses less digits than its factorization.

11001124234044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540544 (or 540539 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11001124234044 its reverse (44043242110011), we get a palindrome (55044366344055).

The spelling of 11001124234044 in words is "eleven trillion, one billion, one hundred twenty-four million, two hundred thirty-four thousand, forty-four".