212000303311200 has 720 divisors, whose sum is σ = 777344739627456. Its totient is φ = 56225343283200.

The previous prime is 212000303311187. The next prime is 212000303311211. The reversal of 212000303311200 is 2113303000212.

212000303311200 is a `hidden beast` number, since 2 + 120 + 0 + 0 + 30 + 3 + 311 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13754634694 + ... + 13754650106.

Almost surely, 2^{212000303311200} is an apocalyptic number.

212000303311200 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 212000303311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388672369813728).

212000303311200 is an abundant number, since it is smaller than the sum of its proper divisors (565344436316256).

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

212000303311200 is a wasteful number, since it uses less digits than its factorization.

212000303311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16589 (or 16567 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212000303311200 its reverse (2113303000212), we get a palindrome (214113606311412).

The spelling of 212000303311200 in words is "two hundred twelve trillion, three hundred three million, three hundred eleven thousand, two hundred".