224421120000 has 2160 divisors, whose sum is σ = 1061698397760. Its totient is φ = 44605440000.

The previous prime is 224421119957. The next prime is 224421120013. The reversal of 224421120000 is 21124422.

224421120000 is a `hidden beast` number, since 22 + 442 + 1 + 1 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9757439989 + ... + 9757440011.

It is an arithmetic number, because the mean of its divisors is an integer number (491527036).

Almost surely, 2^224421120000 is an apocalyptic number.

224421120000 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 224421120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530849198880).

224421120000 is an abundant number, since it is smaller than the sum of its proper divisors (837277277760).

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

224421120000 is a wasteful number, since it uses less digits than its factorization.

224421120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 224421120000 its reverse (21124422), we get a palindrome (224442244422).

The spelling of 224421120000 in words is "two hundred twenty-four billion, four hundred twenty-one million, one hundred twenty thousand".