1001204224 has 40 divisors (see below), whose sum is σ = 2033310708. Its totient is φ = 492380160.

The previous prime is 1001204219. The next prime is 1001204227. The reversal of 1001204224 is 4224021001.

It can be written as a sum of positive squares in 2 ways, for example, as 996538624 + 4665600 = 31568^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1001204198 and 1001204207.

It is not an unprimeable number, because it can be changed into a prime (1001204227) 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 3 ways as a sum of consecutive naturals, for example, 15204 + ... + 47260.

Almost surely, 2^1001204224 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 1001204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016655354).

1001204224 is an abundant number, since it is smaller than the sum of its proper divisors (1032106484).

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

1001204224 is an frugal number, since it uses more digits than its factorization.

1001204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32136 (or 32120 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1001204224 is about 31641.8113261551. The cubic root of 1001204224 is about 1000.4012469793.

Adding to 1001204224 its reverse (4224021001), we get a palindrome (5225225225).

The spelling of 1001204224 in words is "one billion, one million, two hundred four thousand, two hundred twenty-four".