1220331321 has 24 divisors (see below), whose sum is σ = 1946127456. Its totient is φ = 730679040.

The previous prime is 1220331311. The next prime is 1220331361. The reversal of 1220331321 is 1231330221.

1220331321 is a `hidden beast` number, since 12 + 2 + 0 + 331 + 321 = 666.

It is not a de Polignac number, because 1220331321 - 2¹³ = 1220323129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220331294 and 1220331303.

It is not an unprimeable number, because it can be changed into a prime (1220331311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66040 + ... + 82473.

It is an arithmetic number, because the mean of its divisors is an integer number (81088644).

Almost surely, 2^1220331321 is an apocalyptic number.

1220331321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220331321 is a deficient number, since it is larger than the sum of its proper divisors (725796135).

1220331321 is a wasteful number, since it uses less digits than its factorization.

1220331321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148613 (or 148610 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1220331321 is about 34933.2409174986. The cubic root of 1220331321 is about 1068.6264499017.

Adding to 1220331321 its reverse (1231330221), we get a palindrome (2451661542).

The spelling of 1220331321 in words is "one billion, two hundred twenty million, three hundred thirty-one thousand, three hundred twenty-one".