123120204001 has 8 divisors (see below), whose sum is σ = 127161631080. Its totient is φ = 119142421632.

The previous prime is 123120203989. The next prime is 123120204007. The reversal of 123120204001 is 100402021321.

It can be written as a sum of positive squares in 4 ways, for example, as 44089500625 + 79030703376 = 209975^2 + 281124^2 .

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 123120204001 - 2⁷ = 123120203873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123120204007) 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 7 ways as a sum of consecutive naturals, for example, 15907246 + ... + 15914983.

It is an arithmetic number, because the mean of its divisors is an integer number (15895203885).

Almost surely, 2^123120204001 is an apocalyptic number.

It is an amenable number.

123120204001 is a deficient number, since it is larger than the sum of its proper divisors (4041427079).

123120204001 is an equidigital number, since it uses as much as digits as its factorization.

123120204001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31822355.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 123120204001 its reverse (100402021321), we get a palindrome (223522225322).

The spelling of 123120204001 in words is "one hundred twenty-three billion, one hundred twenty million, two hundred four thousand, one".