1220431010344 has 128 divisors (see below), whose sum is σ = 2988948695040. Its totient is φ = 453355978752.

The previous prime is 1220431010333. The next prime is 1220431010419. The reversal of 1220431010344 is 4430101340221.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5244937 + ... + 5472679.

It is an arithmetic number, because the mean of its divisors is an integer number (23351161680).

Almost surely, 2^{1220431010344} is an apocalyptic number.

1220431010344 is a gapful number since it is divisible by the number (14) 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 1220431010344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494474347520).

1220431010344 is an abundant number, since it is smaller than the sum of its proper divisors (1768517684696).

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

1220431010344 is a wasteful number, since it uses less digits than its factorization.

1220431010344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228219 (or 228215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1220431010344 its reverse (4430101340221), we get a palindrome (5650532350565).

The spelling of 1220431010344 in words is "one trillion, two hundred twenty billion, four hundred thirty-one million, ten thousand, three hundred forty-four".