12120001001001 has 16 divisors (see below), whose sum is σ = 19011766276800. Its totient is φ = 7604706510144.

The previous prime is 12120001000979. The next prime is 12120001001039. The reversal of 12120001001001 is 10010010002121.

It is a happy number.

It is not a de Polignac number, because 12120001001001 - 2⁵ = 12120001000969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

12120001001001 is a modest number, since divided by 1001001 gives 12120 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12120001001401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13202615011 + ... + 13202615928.

It is an arithmetic number, because the mean of its divisors is an integer number (1188235392300).

Almost surely, 2^{12120001001001} is an apocalyptic number.

It is an amenable number.

12120001001001 is a deficient number, since it is larger than the sum of its proper divisors (6891765275799).

12120001001001 is a wasteful number, since it uses less digits than its factorization.

12120001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26405230965 (or 26405230959 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12120001001001 its reverse (10010010002121), we get a palindrome (22130011003122).

The spelling of 12120001001001 in words is "twelve trillion, one hundred twenty billion, one million, one thousand, one".