12132100 has 18 divisors (see below), whose sum is σ = 26326874. Its totient is φ = 4852800.

The previous prime is 12132097. The next prime is 12132103. The reversal of 12132100 is 123121.

It is an interprime number because it is at equal distance from previous prime (12132097) and next prime (12132103).

It can be written as a sum of positive squares in 3 ways, for example, as 1943236 + 10188864 = 1394^2 + 3192^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60561 + ... + 60760.

Almost surely, 2^12132100 is an apocalyptic number.

12132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132100 is an abundant number, since it is smaller than the sum of its proper divisors (14194774).

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

12132100 is a wasteful number, since it uses less digits than its factorization.

12132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121335 (or 121328 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12132100 is about 3483.1164206785. The cubic root of 12132100 is about 229.7798776150.

Adding to 12132100 its reverse (123121), we get a palindrome (12255221).

The spelling of 12132100 in words is "twelve million, one hundred thirty-two thousand, one hundred".