1020224512 has 44 divisors (see below), whose sum is σ = 2073013276. Its totient is φ = 501719040.

The previous prime is 1020224479. The next prime is 1020224537. The reversal of 1020224512 is 2154220201.

It can be written as a sum of positive squares in 2 ways, for example, as 52765696 + 967458816 = 7264^2 + 31104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1020224512.

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 3 ways as a sum of consecutive naturals, for example, 54298 + ... + 70630.

Almost surely, 2^1020224512 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 1020224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036506638).

1020224512 is an abundant number, since it is smaller than the sum of its proper divisors (1052788764).

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

1020224512 is an equidigital number, since it uses as much as digits as its factorization.

1020224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16414 (or 16396 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1020224512 is about 31940.9535236505. The cubic root of 1020224512 is about 1006.6965599844.

Adding to 1020224512 its reverse (2154220201), we get a palindrome (3174444713).

The spelling of 1020224512 in words is "one billion, twenty million, two hundred twenty-four thousand, five hundred twelve".