1032002003112 has 64 divisors (see below), whose sum is σ = 2642037773760. Its totient is φ = 335741952000.

The previous prime is 1032002003051. The next prime is 1032002003129. The reversal of 1032002003112 is 2113002002301.

It is a super-3 number, since 3×1032002003112³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032002003091 and 1032002003100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958312 + ... + 1726952.

It is an arithmetic number, because the mean of its divisors is an integer number (41281840215).

Almost surely, 2^{1032002003112} is an apocalyptic number.

1032002003112 is a gapful number since it is divisible by the number (12) 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 1032002003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321018886880).

1032002003112 is an abundant number, since it is smaller than the sum of its proper divisors (1610035770648).

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

1032002003112 is a wasteful number, since it uses less digits than its factorization.

1032002003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769994 (or 769990 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1032002003112 its reverse (2113002002301), we get a palindrome (3145004005413).

The spelling of 1032002003112 in words is "one trillion, thirty-two billion, two million, three thousand, one hundred twelve".