12000011011001 has 8 divisors (see below), whose sum is σ = 12923991368904. Its totient is φ = 11076159594240.

The previous prime is 12000011010989. The next prime is 12000011011057. The reversal of 12000011011001 is 10011011000021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2095615245376 + 9904395765625 = 1447624^2 + 3147125^2 .

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

It is not a de Polignac number, because 12000011011001 - 2²⁶ = 11999943902137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12000011011001.

It is not an unprimeable number, because it can be changed into a prime (12000011011061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32041946 + ... + 32414291.

It is an arithmetic number, because the mean of its divisors is an integer number (1615498921113).

Almost surely, 2^{12000011011001} is an apocalyptic number.

It is an amenable number.

12000011011001 is a deficient number, since it is larger than the sum of its proper divisors (923980357903).

12000011011001 is a wasteful number, since it uses less digits than its factorization.

12000011011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64470571.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12000011011001 its reverse (10011011000021), we get a palindrome (22011022011022).

The spelling of 12000011011001 in words is "twelve trillion, eleven million, eleven thousand, one".