1220301440 has 128 divisors (see below), whose sum is σ = 3101187600. Its totient is φ = 458293248.

The previous prime is 1220301437. The next prime is 1220301451. The reversal of 1220301440 is 441030221.

It can be written as a sum of positive squares in 8 ways, for example, as 816130624 + 404170816 = 28568^2 + 20104^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685832 + ... + 687608.

Almost surely, 2^1220301440 is an apocalyptic number.

1220301440 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 1220301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550593800).

1220301440 is an abundant number, since it is smaller than the sum of its proper divisors (1880886160).

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

1220301440 is a wasteful number, since it uses less digits than its factorization.

1220301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1220301440 is about 34932.8132276804. The cubic root of 1220301440 is about 1068.6177277110.

Adding to 1220301440 its reverse (441030221), we get a palindrome (1661331661).

The spelling of 1220301440 in words is "one billion, two hundred twenty million, three hundred one thousand, four hundred forty".