12001413121 has 8 divisors (see below), whose sum is σ = 12232045224. Its totient is φ = 11770936320.

The previous prime is 12001413101. The next prime is 12001413139. The reversal of 12001413121 is 12131410021.

It can be written as a sum of positive squares in 4 ways, for example, as 5411220721 + 6590192400 = 73561^2 + 81180^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12001413121 - 2⁵ = 12001413089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001413095 and 12001413104.

It is not an unprimeable number, because it can be changed into a prime (12001413101) 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 7 ways as a sum of consecutive naturals, for example, 123681 + ... + 198241.

It is an arithmetic number, because the mean of its divisors is an integer number (1529005653).

Almost surely, 2^12001413121 is an apocalyptic number.

It is an amenable number.

12001413121 is a deficient number, since it is larger than the sum of its proper divisors (230632103).

12001413121 is an equidigital number, since it uses as much as digits as its factorization.

12001413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77651.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12001413121 its reverse (12131410021), we get a palindrome (24132823142).

The spelling of 12001413121 in words is "twelve billion, one million, four hundred thirteen thousand, one hundred twenty-one".