2003011200 has 384 divisors, whose sum is σ = 7437024000. Its totient is φ = 526417920.

The previous prime is 2003011187. The next prime is 2003011211. The reversal of 2003011200 is 21103002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8380681 + ... + 8380919.

It is an arithmetic number, because the mean of its divisors is an integer number (19367250).

Almost surely, 2^2003011200 is an apocalyptic number.

2003011200 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 2003011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718512000).

2003011200 is an abundant number, since it is smaller than the sum of its proper divisors (5434012800).

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

2003011200 is a wasteful number, since it uses less digits than its factorization.

2003011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2003011200 is about 44755.0131270230. The cubic root of 2003011200 is about 1260.5530452011.

Adding to 2003011200 its reverse (21103002), we get a palindrome (2024114202).

The spelling of 2003011200 in words is "two billion, three million, eleven thousand, two hundred".