1003485193120 has 96 divisors (see below), whose sum is σ = 2377497906000. Its totient is φ = 400250290176.

The previous prime is 1003485193093. The next prime is 1003485193121. The reversal of 1003485193120 is 213915843001.

It can be written as a sum of positive squares in 8 ways, for example, as 453354435856 + 550130757264 = 673316^2 + 741708^2 .

It is a super-2 number, since 2×1003485193120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1003485193120.

It is not an unprimeable number, because it can be changed into a prime (1003485193121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 103994056 + ... + 104003704.

Almost surely, 2^{1003485193120} is an apocalyptic number.

1003485193120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003485193120 is an abundant number, since it is smaller than the sum of its proper divisors (1374012712880).

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

1003485193120 is a wasteful number, since it uses less digits than its factorization.

1003485193120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11450 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 1003485193120 in words is "one trillion, three billion, four hundred eighty-five million, one hundred ninety-three thousand, one hundred twenty".