224226096120 has 1152 divisors, whose sum is σ = 904963026240. Its totient is φ = 47656304640.

The previous prime is 224226096119. The next prime is 224226096131. The reversal of 224226096120 is 21690622422.

It is a happy number.

224226096120 is a `hidden beast` number, since 2 + 2 + 4 + 22 + 609 + 6 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1062682815 + ... + 1062683025.

Almost surely, 2^224226096120 is an apocalyptic number.

224226096120 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 224226096120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452481513120).

224226096120 is an abundant number, since it is smaller than the sum of its proper divisors (680736930120).

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

224226096120 is a wasteful number, since it uses less digits than its factorization.

224226096120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 224226096120 in words is "two hundred twenty-four billion, two hundred twenty-six million, ninety-six thousand, one hundred twenty".