1003212745504 has 384 divisors, whose sum is σ = 2241727488000. Its totient is φ = 440154943488.

The previous prime is 1003212745499. The next prime is 1003212745537. The reversal of 1003212745504 is 4055472123001.

It is a self number, because there is not a number n which added to its sum of digits gives 1003212745504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9203786602 + ... + 9203786710.

It is an arithmetic number, because the mean of its divisors is an integer number (5837832000).

Almost surely, 2^{1003212745504} 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 1003212745504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120863744000).

1003212745504 is an abundant number, since it is smaller than the sum of its proper divisors (1238514742496).

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

1003212745504 is a wasteful number, since it uses less digits than its factorization.

1003212745504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

Adding to 1003212745504 its reverse (4055472123001), we get a palindrome (5058684868505).

The spelling of 1003212745504 in words is "one trillion, three billion, two hundred twelve million, seven hundred forty-five thousand, five hundred four".