224121820050 has 270 divisors, whose sum is σ = 641251968687. Its totient is φ = 58038482880.

The previous prime is 224121820031. The next prime is 224121820051. The reversal of 224121820050 is 50028121422.

224121820050 is a `hidden beast` number, since 2 + 241 + 218 + 200 + 5 + 0 = 666.

224121820050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 182210313321 + 41911506729 = 426861^2 + 204723^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334755.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224121819996 and 224121820023.

It is not an unprimeable number, because it can be changed into a prime (224121820051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1295501764 + ... + 1295501936.

Almost surely, 2^224121820050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224121820050

224121820050 is an abundant number, since it is smaller than the sum of its proper divisors (417130148637).

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

224121820050 is an equidigital number, since it uses as much as digits as its factorization.

224121820050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 224121820050 its reverse (50028121422), we get a palindrome (274149941472).

The spelling of 224121820050 in words is "two hundred twenty-four billion, one hundred twenty-one million, eight hundred twenty thousand, fifty".