12111012002001 has 128 divisors (see below), whose sum is σ = 18487692951552. Its totient is φ = 7046469460800.

The previous prime is 12111012001997. The next prime is 12111012002039. The reversal of 12111012002001 is 10020021011121.

It is not a de Polignac number, because 12111012002001 - 2² = 12111012001997 is a prime.

It is a super-2 number, since 2×12111012002001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12111012002081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4473959490 + ... + 4473962196.

It is an arithmetic number, because the mean of its divisors is an integer number (144435101184).

Almost surely, 2^{12111012002001} is an apocalyptic number.

12111012002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111012002001 is a deficient number, since it is larger than the sum of its proper divisors (6376680949551).

12111012002001 is a wasteful number, since it uses less digits than its factorization.

12111012002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12111012002001 its reverse (10020021011121), we get a palindrome (22131033013122).

The spelling of 12111012002001 in words is "twelve trillion, one hundred eleven billion, twelve million, two thousand, one".