12001414401 has 48 divisors (see below), whose sum is σ = 18671427216. Its totient is φ = 7401259008.

The previous prime is 12001414361. The next prime is 12001414483. The reversal of 12001414401 is 10441410021.

12001414401 is a `hidden beast` number, since 120 + 0 + 141 + 4 + 401 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 777071376 + 11224343025 = 27876^2 + 105945^2 .

It is not a de Polignac number, because 12001414401 - 2⁷ = 12001414273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12001424401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3494181 + ... + 3497613.

It is an arithmetic number, because the mean of its divisors is an integer number (388988067).

Almost surely, 2^12001414401 is an apocalyptic number.

It is an amenable number.

12001414401 is a deficient number, since it is larger than the sum of its proper divisors (6670012815).

12001414401 is a wasteful number, since it uses less digits than its factorization.

12001414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12001414401 its reverse (10441410021), we get a palindrome (22442824422).

The spelling of 12001414401 in words is "twelve billion, one million, four hundred fourteen thousand, four hundred one".