224112000000 has 1232 divisors, whose sum is σ = 921138209280. Its totient is φ = 47308800000.

The previous prime is 224111999983. The next prime is 224112000001. The reversal of 224112000000 is 211422.

224112000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 224112000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224112000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7727999986 + ... + 7728000014.

Almost surely, 2^224112000000 is an apocalyptic number.

224112000000 is a gapful number since it is divisible by the number (20) 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 224112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460569104640).

224112000000 is an abundant number, since it is smaller than the sum of its proper divisors (697026209280).

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

224112000000 is an frugal number, since it uses more digits than its factorization.

224112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 224112000000 its reverse (211422), we get a palindrome (224112211422).

The spelling of 224112000000 in words is "two hundred twenty-four billion, one hundred twelve million", and thus it is an aban number.