2001200310 has 128 divisors (see below), whose sum is σ = 5486745600. Its totient is φ = 518791680.

The previous prime is 2001200239. The next prime is 2001200323. The reversal of 2001200310 is 130021002.

It is a happy number.

It is a super-2 number, since 2×2001200310² = 8009605361488192200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001200292 and 2001200301.

It is a congruent number.

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, 2271070 + ... + 2271950.

It is an arithmetic number, because the mean of its divisors is an integer number (42865200).

Almost surely, 2^2001200310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001200310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743372800).

2001200310 is an abundant number, since it is smaller than the sum of its proper divisors (3485545290).

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

2001200310 is a wasteful number, since it uses less digits than its factorization.

2001200310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

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

The square root of 2001200310 is about 44734.7774108691. Note that the first 3 decimals coincide. The cubic root of 2001200310 is about 1260.1730487947.

Adding to 2001200310 its reverse (130021002), we get a palindrome (2131221312).

The spelling of 2001200310 in words is "two billion, one million, two hundred thousand, three hundred ten".