1003121424 has 60 divisors (see below), whose sum is σ = 2812445116. Its totient is φ = 333766656.

The previous prime is 1003121419. The next prime is 1003121437. The reversal of 1003121424 is 4241213001.

1003121424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 530841600 + 472279824 = 23040^2 + 21732^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1003121397 and 1003121406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77052 + ... + 89124.

Almost surely, 2^1003121424 is an apocalyptic number.

It is an amenable number.

1003121424 is an abundant number, since it is smaller than the sum of its proper divisors (1809323692).

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

1003121424 is a wasteful number, since it uses less digits than its factorization.

1003121424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12655 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1003121424 is about 31672.0921948646. The cubic root of 1003121424 is about 1001.0393939526.

Adding to 1003121424 its reverse (4241213001), we get a palindrome (5244334425).

The spelling of 1003121424 in words is "one billion, three million, one hundred twenty-one thousand, four hundred twenty-four".