11124124420 has 72 divisors (see below), whose sum is σ = 25284566664. Its totient is φ = 4108775424.

The previous prime is 11124124411. The next prime is 11124124423. The reversal of 11124124420 is 2442142111.

It can be written as a sum of positive squares in 12 ways, for example, as 755590144 + 10368534276 = 27488^2 + 101826^2 .

It is a super-2 number, since 2×11124124420² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11124124391 and 11124124400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124124423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288184 + ... + 324496.

It is an arithmetic number, because the mean of its divisors is an integer number (351174537).

Almost surely, 2^11124124420 is an apocalyptic number.

11124124420 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 11124124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642283332).

11124124420 is an abundant number, since it is smaller than the sum of its proper divisors (14160442244).

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

11124124420 is a wasteful number, since it uses less digits than its factorization.

11124124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36409 (or 36390 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 11124124420 its reverse (2442142111), we get a palindrome (13566266531).

The spelling of 11124124420 in words is "eleven billion, one hundred twenty-four million, one hundred twenty-four thousand, four hundred twenty".