12001002002001 has 6 divisors (see below), whose sum is σ = 17334780669570. Its totient is φ = 8000668001328.

The previous prime is 12001002001999. The next prime is 12001002002053. The reversal of 12001002002001 is 10020020010021.

12001002002001 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 only one way, i.e., 11984509278225 + 16492723776 = 3461865^2 + 128424^2 .

It is not a de Polignac number, because 12001002002001 - 2¹ = 12001002001999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1333444666889 = 12001002002001 / (1 + 2 + 0 + 0 + 1 + 0 + 0 + 2 + 0 + 0 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (12001082002001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666722333436 + ... + 666722333453.

It is an arithmetic number, because the mean of its divisors is an integer number (2889130111595).

Almost surely, 2^{12001002002001} is an apocalyptic number.

It is an amenable number.

12001002002001 is a deficient number, since it is larger than the sum of its proper divisors (5333778667569).

12001002002001 is a wasteful number, since it uses less digits than its factorization.

12001002002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333444666895 (or 1333444666892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12001002002001 its reverse (10020020010021), we get a palindrome (22021022012022).

The spelling of 12001002002001 in words is "twelve trillion, one billion, two million, two thousand, one".