1224242320 has 80 divisors (see below), whose sum is σ = 3264041088. Its totient is φ = 418314240.

The previous prime is 1224242317. The next prime is 1224242377. The reversal of 1224242320 is 232424221.

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

It is a junction number, because it is equal to n+sod(n) for n = 1224242291 and 1224242300.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 168360 + ... + 175480.

Almost surely, 2^1224242320 is an apocalyptic number.

1224242320 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 1224242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632020544).

1224242320 is an abundant number, since it is smaller than the sum of its proper divisors (2039798768).

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

1224242320 is a wasteful number, since it uses less digits than its factorization.

1224242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1224242320 is about 34989.1743257825. The cubic root of 1224242320 is about 1069.7668342204.

Adding to 1224242320 its reverse (232424221), we get a palindrome (1456666541).

The spelling of 1224242320 in words is "one billion, two hundred twenty-four million, two hundred forty-two thousand, three hundred twenty".