1320204420 has 108 divisors (see below), whose sum is σ = 4158845964. Its totient is φ = 352019520.

The previous prime is 1320204397. The next prime is 1320204421. The reversal of 1320204420 is 244020231.

It can be written as a sum of positive squares in 2 ways, for example, as 614345796 + 705858624 = 24786^2 + 26568^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1320204393 and 1320204402.

It is not an unprimeable number, because it can be changed into a prime (1320204421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126190 + ... + 136250.

It is an arithmetic number, because the mean of its divisors is an integer number (38507833).

Almost surely, 2^1320204420 is an apocalyptic number.

1320204420 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 1320204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079422982).

1320204420 is an abundant number, since it is smaller than the sum of its proper divisors (2838641544).

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

1320204420 is an equidigital number, since it uses as much as digits as its factorization.

1320204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1320204420 is about 36334.6173779221. The cubic root of 1320204420 is about 1097.0179340361.

Adding to 1320204420 its reverse (244020231), we get a palindrome (1564224651).

The spelling of 1320204420 in words is "one billion, three hundred twenty million, two hundred four thousand, four hundred twenty".