2001241200 has 480 divisors, whose sum is σ = 7740647424. Its totient is φ = 432414720.

The previous prime is 2001241189. The next prime is 2001241217. The reversal of 2001241200 is 21421002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14607532 + ... + 14607668.

Almost surely, 2^2001241200 is an apocalyptic number.

2001241200 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 2001241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870323712).

2001241200 is an abundant number, since it is smaller than the sum of its proper divisors (5739406224).

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

2001241200 is a wasteful number, since it uses less digits than its factorization.

2001241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2001241200 is about 44735.2344355096. The cubic root of 2001241200 is about 1260.1816316645.

Adding to 2001241200 its reverse (21421002), we get a palindrome (2022662202).

The spelling of 2001241200 in words is "two billion, one million, two hundred forty-one thousand, two hundred".