12120132100 has 54 divisors (see below), whose sum is σ = 26401389630. Its totient is φ = 4829552640.

The previous prime is 12120132077. The next prime is 12120132103. The reversal of 12120132100 is 123102121.

It can be written as a sum of positive squares in 9 ways, for example, as 1977225156 + 10142906944 = 44466^2 + 100712^2 .

It is not an unprimeable number, because it can be changed into a prime (12120132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15760516 + ... + 15761284.

Almost surely, 2^12120132100 is an apocalyptic number.

12120132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120132100 is an abundant number, since it is smaller than the sum of its proper divisors (14281257530).

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

12120132100 is an equidigital number, since it uses as much as digits as its factorization.

12120132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12120132100 its reverse (123102121), we get a palindrome (12243234221).

The spelling of 12120132100 in words is "twelve billion, one hundred twenty million, one hundred thirty-two thousand, one hundred".