211001301200 has 120 divisors (see below), whose sum is σ = 519637662936. Its totient is φ = 82287616000.

The previous prime is 211001301169. The next prime is 211001301229. The reversal of 211001301200 is 2103100112.

211001301200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 90103229584 + 120898071616 = 300172^2 + 347704^2 .

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 23 ways as a sum of consecutive naturals, for example, 32353940 + ... + 32360460.

Almost surely, 2^211001301200 is an apocalyptic number.

211001301200 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 211001301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259818831468).

211001301200 is an abundant number, since it is smaller than the sum of its proper divisors (308636361736).

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

211001301200 is a wasteful number, since it uses less digits than its factorization.

211001301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 211001301200 its reverse (2103100112), we get a palindrome (213104401312).

The spelling of 211001301200 in words is "two hundred eleven billion, one million, three hundred one thousand, two hundred".