2001211200 has 252 divisors, whose sum is σ = 7343859328. Its totient is φ = 516326400.

The previous prime is 2001211181. The next prime is 2001211237. The reversal of 2001211200 is 21121002.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 444159 + ... + 448641.

Almost surely, 2^2001211200 is an apocalyptic number.

2001211200 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 2001211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671929664).

2001211200 is an abundant number, since it is smaller than the sum of its proper divisors (5342648128).

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

2001211200 is a wasteful number, since it uses less digits than its factorization.

2001211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2001211200 is about 44734.8991280857. The cubic root of 2001211200 is about 1260.1753346328.

Adding to 2001211200 its reverse (21121002), we get a palindrome (2022332202).

The spelling of 2001211200 in words is "two billion, one million, two hundred eleven thousand, two hundred".