2004121234404 has 18 divisors (see below), whose sum is σ = 5065973120390. Its totient is φ = 668040411456.

The previous prime is 2004121234361. The next prime is 2004121234421. The reversal of 2004121234404 is 4044321214002.

2004121234404 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 1 + 21 + 234 + 404 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1971216000000 + 32905234404 = 1404000^2 + 181398^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27835017109 + ... + 27835017180.

Almost surely, 2^{2004121234404} is an apocalyptic number.

It is an amenable number.

2004121234404 is an abundant number, since it is smaller than the sum of its proper divisors (3061851885986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2004121234404 is a wasteful number, since it uses less digits than its factorization.

2004121234404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55670034299 (or 55670034294 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2004121234404 its reverse (4044321214002), we get a palindrome (6048442448406).

It can be divided in two parts, 20041212 and 34404, that added together give a triangular number (20075616 = T₆₃₃₆).

The spelling of 2004121234404 in words is "two trillion, four billion, one hundred twenty-one million, two hundred thirty-four thousand, four hundred four".