12144401000 has 96 divisors (see below), whose sum is σ = 29993188680. Its totient is φ = 4601952000.

The previous prime is 12144400999. The next prime is 12144401041. The reversal of 12144401000 is 10444121.

It can be written as a sum of positive squares in 4 ways, for example, as 5586964516 + 6557436484 = 74746^2 + 80978^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12144401000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344180 + ... + 377820.

Almost surely, 2^12144401000 is an apocalyptic number.

12144401000 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 12144401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996594340).

12144401000 is an abundant number, since it is smaller than the sum of its proper divisors (17848787680).

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

12144401000 is a wasteful number, since it uses less digits than its factorization.

12144401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33700 (or 33667 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12144401000 its reverse (10444121), we get a palindrome (12154845121).

The spelling of 12144401000 in words is "twelve billion, one hundred forty-four million, four hundred one thousand".