1220313321344 has 256 divisors, whose sum is σ = 2792040451200. Its totient is φ = 526944337920.

The previous prime is 1220313321343. The next prime is 1220313321391. The reversal of 1220313321344 is 4431233130221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220313321343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853962422 + ... + 853963850.

Almost surely, 2^{1220313321344} 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 1220313321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396020225600).

1220313321344 is an abundant number, since it is smaller than the sum of its proper divisors (1571727129856).

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

1220313321344 is a wasteful number, since it uses less digits than its factorization.

1220313321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 1220313321344 its reverse (4431233130221), we get a palindrome (5651546451565).

The spelling of 1220313321344 in words is "one trillion, two hundred twenty billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred forty-four".