12180100 has 27 divisors (see below), whose sum is σ = 26506767. Its totient is φ = 4858080.

The previous prime is 12180079. The next prime is 12180101. The reversal of 12180100 is 108121.

The square root of 12180100 is 3490.

It is a perfect power (a square), and thus also a powerful number.

12180100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 12054784 = 354^2 + 3472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12180101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34726 + ... + 35074.

Almost surely, 2^12180100 is an apocalyptic number.

12180100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12180100 is the 3490-th square number.

It is an amenable number.

12180100 is an abundant number, since it is smaller than the sum of its proper divisors (14326667).

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

12180100 is an equidigital number, since it uses as much as digits as its factorization.

12180100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The cubic root of 12180100 is about 230.0825160762.

Multiplying 12180100 by its product of nonzero digits (16), we get a square (194881600 = 13960²).

Adding to 12180100 its reverse (108121), we get a palindrome (12288221).

The spelling of 12180100 in words is "twelve million, one hundred eighty thousand, one hundred".