1003312210124 has 96 divisors (see below), whose sum is σ = 2185160355840. Its totient is φ = 393353625600.

The previous prime is 1003312210073. The next prime is 1003312210133. The reversal of 1003312210124 is 4210122133001.

It is a junction number, because it is equal to n+sod(n) for n = 1003312210096 and 1003312210105.

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 31 ways as a sum of consecutive naturals, for example, 7470284 + ... + 7603404.

It is an arithmetic number, because the mean of its divisors is an integer number (22762087040).

Almost surely, 2^{1003312210124} is an apocalyptic number.

1003312210124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003312210124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092580177920).

1003312210124 is an abundant number, since it is smaller than the sum of its proper divisors (1181848145716).

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

1003312210124 is a wasteful number, since it uses less digits than its factorization.

1003312210124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133639 (or 133637 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1003312210124 its reverse (4210122133001), we get a palindrome (5213434343125).

The spelling of 1003312210124 in words is "one trillion, three billion, three hundred twelve million, two hundred ten thousand, one hundred twenty-four".