2004420032120 has 64 divisors (see below), whose sum is σ = 4922253295200. Its totient is φ = 728537313280.

The previous prime is 2004420032119. The next prime is 2004420032137. The reversal of 2004420032120 is 212300244002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2004420032092 and 2004420032101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133109 + ... + 2006628.

Almost surely, 2^{2004420032120} is an apocalyptic number.

2004420032120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004420032120 is an abundant number, since it is smaller than the sum of its proper divisors (2917833263080).

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

2004420032120 is a wasteful number, since it uses less digits than its factorization.

2004420032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141888 (or 2141884 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2004420032120 its reverse (212300244002), we get a palindrome (2216720276122).

The spelling of 2004420032120 in words is "two trillion, four billion, four hundred twenty million, thirty-two thousand, one hundred twenty".