1303221122320 has 80 divisors (see below), whose sum is σ = 3266143422192. Its totient is φ = 480735406080.

The previous prime is 1303221122249. The next prime is 1303221122327. The reversal of 1303221122320 is 232211223031.

It can be written as a sum of positive squares in 8 ways, for example, as 250348121104 + 1052873001216 = 500348^2 + 1026096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1303221122320² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1303221122291 and 1303221122300.

It is not an unprimeable number, because it can be changed into a prime (1303221122327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 512914 + ... + 1693966.

Almost surely, 2^{1303221122320} is an apocalyptic number.

1303221122320 is a gapful number since it is divisible by the number (10) 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 1303221122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633071711096).

1303221122320 is an abundant number, since it is smaller than the sum of its proper divisors (1962922299872).

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

1303221122320 is a wasteful number, since it uses less digits than its factorization.

1303221122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182140 (or 1182134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1303221122320 its reverse (232211223031), we get a palindrome (1535432345351).

The spelling of 1303221122320 in words is "one trillion, three hundred three billion, two hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty".