1220530204224 has 168 divisors, whose sum is σ = 3538765868352. Its totient is φ = 402166840320.

The previous prime is 1220530204141. The next prime is 1220530204301. The reversal of 1220530204224 is 4224020350221.

1220530204224 is a `hidden beast` number, since 1 + 2 + 205 + 30 + 2 + 0 + 422 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33383394 + ... + 33419934.

Almost surely, 2^{1220530204224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220530204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769382934176).

1220530204224 is an abundant number, since it is smaller than the sum of its proper divisors (2318235664128).

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

1220530204224 is a wasteful number, since it uses less digits than its factorization.

1220530204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37225 (or 37212 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 1220530204224 its reverse (4224020350221), we get a palindrome (5444550554445).

The spelling of 1220530204224 in words is "one trillion, two hundred twenty billion, five hundred thirty million, two hundred four thousand, two hundred twenty-four".