11124212112 has 600 divisors, whose sum is σ = 38415041280. Its totient is φ = 3084894720.

The previous prime is 11124212107. The next prime is 11124212119. The reversal of 11124212112 is 21121242111.

It is a super-2 number, since 2×11124212112² (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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11124212119) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 188545939 + ... + 188545997.

Almost surely, 2^11124212112 is an apocalyptic number.

11124212112 is a gapful number since it is divisible by the number (12) 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 11124212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19207520640).

11124212112 is an abundant number, since it is smaller than the sum of its proper divisors (27290829168).

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

11124212112 is a wasteful number, since it uses less digits than its factorization.

11124212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

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

Adding to 11124212112 its reverse (21121242111), we get a palindrome (32245454223).

The spelling of 11124212112 in words is "eleven billion, one hundred twenty-four million, two hundred twelve thousand, one hundred twelve".