12414404000 has 48 divisors (see below), whose sum is σ = 30502200456. Its totient is φ = 4965760000.

The previous prime is 12414403997. The next prime is 12414404047. The reversal of 12414404000 is 40441421.

It is a happy number.

12414404000 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 4023111184 + 8391292816 = 63428^2 + 91604^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1547801 + ... + 1555800.

Almost surely, 2^12414404000 is an apocalyptic number.

12414404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414404000 is an abundant number, since it is smaller than the sum of its proper divisors (18087796456).

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

12414404000 is an equidigital number, since it uses as much as digits as its factorization.

12414404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103626 (or 3103608 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12414404000 its reverse (40441421), we get a palindrome (12454845421).

The spelling of 12414404000 in words is "twelve billion, four hundred fourteen million, four hundred four thousand".