2004120300 has 216 divisors, whose sum is σ = 7177207296. Its totient is φ = 422772480.

The previous prime is 2004120289. The next prime is 2004120311. The reversal of 2004120300 is 30214002.

2004120300 = T₁₆ + T₁₇ + ... + T₂₂₉₀.

It is an interprime number because it is at equal distance from previous prime (2004120289) and next prime (2004120311).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352077 + ... + 357723.

Almost surely, 2^2004120300 is an apocalyptic number.

2004120300 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 2004120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588603648).

2004120300 is an abundant number, since it is smaller than the sum of its proper divisors (5173086996).

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

2004120300 is a wasteful number, since it uses less digits than its factorization.

2004120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2004120300 is about 44767.4022029423. The cubic root of 2004120300 is about 1260.7856652043.

Adding to 2004120300 its reverse (30214002), we get a palindrome (2034334302).

The spelling of 2004120300 in words is "two billion, four million, one hundred twenty thousand, three hundred".