12001011001 has 16 divisors (see below), whose sum is σ = 14421040128. Its totient is φ = 9764211600.

The previous prime is 12001010969. The next prime is 12001011017. The reversal of 12001011001 is 10011010021.

12001011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12001011001 - 2⁵ = 12001010969 is a prime.

It is a super-2 number, since 2×12001011001² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001011091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 263415 + ... + 305596.

It is an arithmetic number, because the mean of its divisors is an integer number (901315008).

Almost surely, 2^12001011001 is an apocalyptic number.

It is an amenable number.

12001011001 is a deficient number, since it is larger than the sum of its proper divisors (2420029127).

12001011001 is a wasteful number, since it uses less digits than its factorization.

12001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569172.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12001011001 its reverse (10011010021), we get a palindrome (22012021022).

The spelling of 12001011001 in words is "twelve billion, one million, eleven thousand, one".