1224314400 has 144 divisors (see below), whose sum is σ = 4195044000. Its totient is φ = 309288960.

The previous prime is 1224314359. The next prime is 1224314401. The reversal of 1224314400 is 44134221.

It is not an unprimeable number, because it can be changed into a prime (1224314401) 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 23 ways as a sum of consecutive naturals, for example, 32176 + ... + 59024.

It is an arithmetic number, because the mean of its divisors is an integer number (29132250).

Almost surely, 2^1224314400 is an apocalyptic number.

1224314400 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 1224314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097522000).

1224314400 is an abundant number, since it is smaller than the sum of its proper divisors (2970729600).

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

1224314400 is a wasteful number, since it uses less digits than its factorization.

1224314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26891 (or 26878 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1224314400 is about 34990.2043435016. The cubic root of 1224314400 is about 1069.7878287787.

Adding to 1224314400 its reverse (44134221), we get a palindrome (1268448621).

The spelling of 1224314400 in words is "one billion, two hundred twenty-four million, three hundred fourteen thousand, four hundred".