11224114013112 has 384 divisors, whose sum is σ = 38357685354240. Its totient is φ = 2690425221120.

The previous prime is 11224114013089. The next prime is 11224114013117. The reversal of 11224114013112 is 21131041142211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224114013117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1132942863 + ... + 1132952769.

It is an arithmetic number, because the mean of its divisors is an integer number (99889805610).

Almost surely, 2^{11224114013112} is an apocalyptic number.

11224114013112 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 11224114013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19178842677120).

11224114013112 is an abundant number, since it is smaller than the sum of its proper divisors (27133571341128).

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

11224114013112 is a wasteful number, since it uses less digits than its factorization.

11224114013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16691 (or 16680 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11224114013112 its reverse (21131041142211), we get a palindrome (32355155155323).

The spelling of 11224114013112 in words is "eleven trillion, two hundred twenty-four billion, one hundred fourteen million, thirteen thousand, one hundred twelve".