224124133104 has 120 divisors (see below), whose sum is σ = 635151825360. Its totient is φ = 73770203136.

The previous prime is 224124133073. The next prime is 224124133109. The reversal of 224124133104 is 401331421422.

224124133104 is a `hidden beast` number, since 2 + 241 + 2 + 413 + 3 + 1 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224124133109) 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, 4351567 + ... + 4402769.

It is an arithmetic number, because the mean of its divisors is an integer number (5292931878).

Almost surely, 2^224124133104 is an apocalyptic number.

224124133104 is a gapful number since it is divisible by the number (24) 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 224124133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317575912680).

224124133104 is an abundant number, since it is smaller than the sum of its proper divisors (411027692256).

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

224124133104 is a wasteful number, since it uses less digits than its factorization.

224124133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51599 (or 51590 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 224124133104 its reverse (401331421422), we get a palindrome (625455554526).

The spelling of 224124133104 in words is "two hundred twenty-four billion, one hundred twenty-four million, one hundred thirty-three thousand, one hundred four".