11224014124512 has 192 divisors, whose sum is σ = 34435384865280. Its totient is φ = 3134939480064.

The previous prime is 11224014124511. The next prime is 11224014124537. The reversal of 11224014124512 is 21542141042211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11224014124512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224014124511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4530939 + ... + 6555717.

It is an arithmetic number, because the mean of its divisors is an integer number (179350962840).

Almost surely, 2^{11224014124512} is an apocalyptic number.

11224014124512 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 11224014124512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17217692432640).

11224014124512 is an abundant number, since it is smaller than the sum of its proper divisors (23211370740768).

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

11224014124512 is a wasteful number, since it uses less digits than its factorization.

11224014124512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024985 (or 2024977 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 11224014124512 its reverse (21542141042211), we get a palindrome (32766155166723).

The spelling of 11224014124512 in words is "eleven trillion, two hundred twenty-four billion, fourteen million, one hundred twenty-four thousand, five hundred twelve".