1224012800 has 132 divisors (see below), whose sum is σ = 3064973100. Its totient is φ = 484638720.

The previous prime is 1224012743. The next prime is 1224012809. The reversal of 1224012800 is 82104221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 692224 + 1223320576 = 832^2 + 34976^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224012809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3507026 + ... + 3507374.

Almost surely, 2^1224012800 is an apocalyptic number.

1224012800 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 1224012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532486550).

1224012800 is an abundant number, since it is smaller than the sum of its proper divisors (1840960300).

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

1224012800 is a wasteful number, since it uses less digits than its factorization.

1224012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1224012800 is about 34985.8943004177. The cubic root of 1224012800 is about 1069.6999770235.

The spelling of 1224012800 in words is "one billion, two hundred twenty-four million, twelve thousand, eight hundred".