211313032201200 has 240 divisors, whose sum is σ = 700267195566720. Its totient is φ = 54405516426240.

The previous prime is 211313032201181. The next prime is 211313032201211. The reversal of 211313032201200 is 2102230313112.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1794333519 + ... + 1794451281.

It is an arithmetic number, because the mean of its divisors is an integer number (2917779981528).

Almost surely, 2^{211313032201200} is an apocalyptic number.

211313032201200 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 211313032201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350133597783360).

211313032201200 is an abundant number, since it is smaller than the sum of its proper divisors (488954163365520).

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

211313032201200 is a wasteful number, since it uses less digits than its factorization.

211313032201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169376 (or 169365 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211313032201200 its reverse (2102230313112), we get a palindrome (213415262514312).

The spelling of 211313032201200 in words is "two hundred eleven trillion, three hundred thirteen billion, thirty-two million, two hundred one thousand, two hundred".