12132132100 has 144 divisors (see below), whose sum is σ = 30070075392. Its totient is φ = 4208400000.

The previous prime is 12132132079. The next prime is 12132132121. The reversal of 12132132100 is 123123121.

It is an interprime number because it is at equal distance from previous prime (12132132079) and next prime (12132132121).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2418595 + ... + 2423605.

It is an arithmetic number, because the mean of its divisors is an integer number (208819968).

Almost surely, 2^12132132100 is an apocalyptic number.

12132132100 is a gapful number since it is divisible by the number (10) 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 12132132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15035037696).

12132132100 is an abundant number, since it is smaller than the sum of its proper divisors (17937943292).

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

12132132100 is a wasteful number, since it uses less digits than its factorization.

12132132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12132132100 its reverse (123123121), we get a palindrome (12255255221).

The spelling of 12132132100 in words is "twelve billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred".