1221433344 has 240 divisors, whose sum is σ = 3765762000. Its totient is φ = 394149888.

The previous prime is 1221433333. The next prime is 1221433417. The reversal of 1221433344 is 4433341221.

1221433344 is a `hidden beast` number, since 1 + 221 + 433 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6137757 + ... + 6137955.

It is an arithmetic number, because the mean of its divisors is an integer number (15690675).

Almost surely, 2^1221433344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882881000).

1221433344 is an abundant number, since it is smaller than the sum of its proper divisors (2544328656).

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

1221433344 is an equidigital number, since it uses as much as digits as its factorization.

1221433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 241 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1221433344 is about 34949.0106297732. The cubic root of 1221433344 is about 1068.9480283098.

Adding to 1221433344 its reverse (4433341221), we get a palindrome (5654774565).

The spelling of 1221433344 in words is "one billion, two hundred twenty-one million, four hundred thirty-three thousand, three hundred forty-four".