2004103301200 has 720 divisors, whose sum is σ = 6545416205440. Its totient is φ = 573798297600.

The previous prime is 2004103301173. The next prime is 2004103301209. The reversal of 2004103301200 is 21033014002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004103301209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1008606607 + ... + 1008608593.

Almost surely, 2^{2004103301200} is an apocalyptic number.

2004103301200 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 2004103301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272708102720).

2004103301200 is an abundant number, since it is smaller than the sum of its proper divisors (4541312904240).

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

2004103301200 is a wasteful number, since it uses less digits than its factorization.

2004103301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2004103301200 its reverse (21033014002), we get a palindrome (2025136315202).

The spelling of 2004103301200 in words is "two trillion, four billion, one hundred three million, three hundred one thousand, two hundred".