1220344404224 has 108 divisors (see below), whose sum is σ = 2742808616940. Its totient is φ = 541172121600.

The previous prime is 1220344404221. The next prime is 1220344404241. The reversal of 1220344404224 is 4224044430221.

It can be written as a sum of positive squares in 2 ways, for example, as 102604902400 + 1117739501824 = 320320^2 + 1057232^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1220344404221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 789572 + ... + 1750460.

Almost surely, 2^{1220344404224} 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 1220344404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371404308470).

1220344404224 is an abundant number, since it is smaller than the sum of its proper divisors (1522464212716).

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

1220344404224 is an equidigital number, since it uses as much as digits as its factorization.

1220344404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960968 (or 960943 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 1220344404224 its reverse (4224044430221), we get a palindrome (5444388834445).

The spelling of 1220344404224 in words is "one trillion, two hundred twenty billion, three hundred forty-four million, four hundred four thousand, two hundred twenty-four".