11124124110 has 216 divisors, whose sum is σ = 33250620312. Its totient is φ = 2578171200.

The previous prime is 11124124093. The next prime is 11124124127. The reversal of 11124124110 is 1142142111.

11124124110 is a `hidden beast` number, since 1 + 11 + 241 + 2 + 411 + 0 = 666.

11124124110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11124124093) and next prime (11124124127).

It is a super-2 number, since 2×11124124110² (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 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 107 ways as a sum of consecutive naturals, for example, 5759845 + ... + 5761775.

It is an arithmetic number, because the mean of its divisors is an integer number (153938057).

Almost surely, 2^11124124110 is an apocalyptic number.

11124124110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11124124110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625310156).

11124124110 is an abundant number, since it is smaller than the sum of its proper divisors (22126496202).

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

11124124110 is a wasteful number, since it uses less digits than its factorization.

11124124110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11124124110 its reverse (1142142111), we get a palindrome (12266266221).

The spelling of 11124124110 in words is "eleven billion, one hundred twenty-four million, one hundred twenty-four thousand, one hundred ten".