2003012002020 has 192 divisors, whose sum is σ = 5828771289600. Its totient is φ = 513327144960.

The previous prime is 2003012002007. The next prime is 2003012002031. The reversal of 2003012002020 is 202002103002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2003012001987 and 2003012002005.

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 63 ways as a sum of consecutive naturals, for example, 717666825 + ... + 717669615.

It is an arithmetic number, because the mean of its divisors is an integer number (30358183800).

Almost surely, 2^{2003012002020} is an apocalyptic number.

2003012002020 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 2003012002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914385644800).

2003012002020 is an abundant number, since it is smaller than the sum of its proper divisors (3825759287580).

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

2003012002020 is a wasteful number, since it uses less digits than its factorization.

2003012002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4596 counting only the distinct ones).

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

Adding to 2003012002020 its reverse (202002103002), we get a palindrome (2205014105022).

The spelling of 2003012002020 in words is "two trillion, three billion, twelve million, two thousand, twenty".