224241110120000 has 140 divisors (see below), whose sum is σ = 557205968014080. Its totient is φ = 89509178688000.

The previous prime is 224241110119991. The next prime is 224241110120009. The reversal of 224241110120000 is 21011142422.

It is an interprime number because it is at equal distance from previous prime (224241110119991) and next prime (224241110120009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (224241110120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13308197 + ... + 25011803.

It is an arithmetic number, because the mean of its divisors is an integer number (3980042628672).

Almost surely, 2^{224241110120000} is an apocalyptic number.

224241110120000 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 224241110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278602984007040).

224241110120000 is an abundant number, since it is smaller than the sum of its proper divisors (332964857894080).

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

224241110120000 is an equidigital number, since it uses as much as digits as its factorization.

224241110120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11704118 (or 11704093 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 224241110120000 its reverse (21011142422), we get a palindrome (224262121262422).

The spelling of 224241110120000 in words is "two hundred twenty-four trillion, two hundred forty-one billion, one hundred ten million, one hundred twenty thousand".