12032003032100 has 36 divisors (see below), whose sum is σ = 26109871275348. Its totient is φ = 4812722928000.

The previous prime is 12032003032061. The next prime is 12032003032103. The reversal of 12032003032100 is 123030023021.

It can be written as a sum of positive squares in 6 ways, for example, as 126080386084 + 11905922646016 = 355078^2 + 3450496^2 .

It is not an unprimeable number, because it can be changed into a prime (12032003032103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5407310 + ... + 7300890.

It is an arithmetic number, because the mean of its divisors is an integer number (725274202093).

Almost surely, 2^{12032003032100} is an apocalyptic number.

12032003032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032003032100 is an abundant number, since it is smaller than the sum of its proper divisors (14077868243248).

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

12032003032100 is a wasteful number, since it uses less digits than its factorization.

12032003032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957136 (or 1957129 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12032003032100 its reverse (123030023021), we get a palindrome (12155033055121).

The spelling of 12032003032100 in words is "twelve trillion, thirty-two billion, three million, thirty-two thousand, one hundred".