1224142400 has 168 divisors, whose sum is σ = 3270702120. Its totient is φ = 448266240.

The previous prime is 1224142397. The next prime is 1224142421. The reversal of 1224142400 is 42414221.

It can be written as a sum of positive squares in 12 ways, for example, as 23658496 + 1200483904 = 4864^2 + 34648^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4763072 + ... + 4763328.

It is an arithmetic number, because the mean of its divisors is an integer number (19468465).

Almost surely, 2^1224142400 is an apocalyptic number.

1224142400 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 1224142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635351060).

1224142400 is an abundant number, since it is smaller than the sum of its proper divisors (2046559720).

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

1224142400 is a wasteful number, since it uses less digits than its factorization.

1224142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1224142400 is about 34987.7464264276. The cubic root of 1224142400 is about 1069.7377294132.

Adding to 1224142400 its reverse (42414221), we get a palindrome (1266556621).

The spelling of 1224142400 in words is "one billion, two hundred twenty-four million, one hundred forty-two thousand, four hundred".