12144100 has 18 divisors (see below), whose sum is σ = 26352914. Its totient is φ = 4857600.

The previous prime is 12144071. The next prime is 12144101. The reversal of 12144100 is 144121.

It can be written as a sum of positive squares in 3 ways, for example, as 1542564 + 10601536 = 1242^2 + 3256^2 .

It is not an unprimeable number, because it can be changed into a prime (12144101) 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 5 ways as a sum of consecutive naturals, for example, 60621 + ... + 60820.

Almost surely, 2^12144100 is an apocalyptic number.

12144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144100 is an abundant number, since it is smaller than the sum of its proper divisors (14208814).

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

12144100 is a wasteful number, since it uses less digits than its factorization.

12144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121455 (or 121448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12144100 is about 3484.8385902363. The cubic root of 12144100 is about 229.8556119594.

Adding to 12144100 its reverse (144121), we get a palindrome (12288221).

It can be divided in two parts, 121 and 44100, that multiplied together give a square (5336100 = 2310²).

The spelling of 12144100 in words is "twelve million, one hundred forty-four thousand, one hundred".