12144404100 has 144 divisors (see below), whose sum is σ = 36294676992. Its totient is φ = 3133578240.

The previous prime is 12144404093. The next prime is 12144404113. The reversal of 12144404100 is 140444121.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155469 + ... + 1165931.

It is an arithmetic number, because the mean of its divisors is an integer number (252046368).

Almost surely, 2^12144404100 is an apocalyptic number.

12144404100 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 12144404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18147338496).

12144404100 is an abundant number, since it is smaller than the sum of its proper divisors (24150272892).

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

12144404100 is a wasteful number, since it uses less digits than its factorization.

12144404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10606 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12144404100 its reverse (140444121), we get a palindrome (12284848221).

The spelling of 12144404100 in words is "twelve billion, one hundred forty-four million, four hundred four thousand, one hundred".