1032032100012 has 72 divisors (see below), whose sum is σ = 2541122337600. Its totient is φ = 325096025472.

The previous prime is 1032032100007. The next prime is 1032032100023. The reversal of 1032032100012 is 2100012302301.

It is a junction number, because it is equal to n+sod(n) for n = 1032032099964 and 1032032100000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38126539 + ... + 38153597.

It is an arithmetic number, because the mean of its divisors is an integer number (35293365800).

Almost surely, 2^{1032032100012} is an apocalyptic number.

1032032100012 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 1032032100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270561168800).

1032032100012 is an abundant number, since it is smaller than the sum of its proper divisors (1509090237588).

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

1032032100012 is a wasteful number, since it uses less digits than its factorization.

1032032100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27903 (or 27492 counting only the distinct ones).

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

Adding to 1032032100012 its reverse (2100012302301), we get a palindrome (3132044402313).

The spelling of 1032032100012 in words is "one trillion, thirty-two billion, thirty-two million, one hundred thousand, twelve".