2004112133600 has 144 divisors (see below), whose sum is σ = 5053827346848. Its totient is φ = 775468247040.

The previous prime is 2004112133567. The next prime is 2004112133623. The reversal of 2004112133600 is 63312114002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4925117 + ... + 5316483.

It is an arithmetic number, because the mean of its divisors is an integer number (35096023242).

Almost surely, 2^{2004112133600} is an apocalyptic number.

2004112133600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004112133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526913673424).

2004112133600 is an abundant number, since it is smaller than the sum of its proper divisors (3049715213248).

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

2004112133600 is a wasteful number, since it uses less digits than its factorization.

2004112133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391597 (or 391584 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2004112133600 its reverse (63312114002), we get a palindrome (2067424247602).

The spelling of 2004112133600 in words is "two trillion, four billion, one hundred twelve million, one hundred thirty-three thousand, six hundred".