2001301200 has 360 divisors, whose sum is σ = 7504495128. Its totient is φ = 492011520.

The previous prime is 2001301199. The next prime is 2001301241. The reversal of 2001301200 is 21031002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 600446016 + 1400855184 = 24504^2 + 37428^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3243292 + ... + 3243908.

Almost surely, 2^2001301200 is an apocalyptic number.

2001301200 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 2001301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752247564).

2001301200 is an abundant number, since it is smaller than the sum of its proper divisors (5503193928).

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

2001301200 is a wasteful number, since it uses less digits than its factorization.

2001301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 697 counting only the distinct ones).

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

The square root of 2001301200 is about 44735.9050428177. The cubic root of 2001301200 is about 1260.1942255391.

Adding to 2001301200 its reverse (21031002), we get a palindrome (2022332202).

The spelling of 2001301200 in words is "two billion, one million, three hundred one thousand, two hundred".