212110201200 has 240 divisors, whose sum is σ = 715705441920. Its totient is φ = 53549429760.

The previous prime is 212110201129. The next prime is 212110201223. The reversal of 212110201200 is 2102011212.

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53737627 + ... + 53741573.

It is an arithmetic number, because the mean of its divisors is an integer number (2982106008).

Almost surely, 2^212110201200 is an apocalyptic number.

212110201200 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 212110201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357852720960).

212110201200 is an abundant number, since it is smaller than the sum of its proper divisors (503595240720).

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

212110201200 is a wasteful number, since it uses less digits than its factorization.

212110201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212110201200 its reverse (2102011212), we get a palindrome (214212212412).

The spelling of 212110201200 in words is "two hundred twelve billion, one hundred ten million, two hundred one thousand, two hundred".