12000020001001 has 8 divisors (see below), whose sum is σ = 12238949789064. Its totient is φ = 11761553706240.

The previous prime is 12000020000971. The next prime is 12000020001043. The reversal of 12000020001001 is 10010002000021.

It can be written as a sum of positive squares in 4 ways, for example, as 3566507790400 + 8433512210601 = 1888520^2 + 2904051^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12000020001001 - 2¹⁹ = 12000019476713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000020001071) 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, 115821030 + ... + 115924591.

It is an arithmetic number, because the mean of its divisors is an integer number (1529868723633).

Almost surely, 2^{12000020001001} is an apocalyptic number.

It is an amenable number.

12000020001001 is a deficient number, since it is larger than the sum of its proper divisors (238929788063).

12000020001001 is an equidigital number, since it uses as much as digits as its factorization.

12000020001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231746651.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12000020001001 its reverse (10010002000021), we get a palindrome (22010022001022).

The spelling of 12000020001001 in words is "twelve trillion, twenty million, one thousand, one".