212202112201200 has 720 divisors, whose sum is σ = 823215331909152. Its totient is φ = 50171412480000.

The previous prime is 212202112201103. The next prime is 212202112201217. The reversal of 212202112201200 is 2102211202212.

It is a happy number.

212202112201200 is a `hidden beast` number, since 2 + 1 + 220 + 21 + 1 + 220 + 1 + 200 = 666.

212202112201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 5229595312 + ... + 5229635888.

Almost surely, 2^{212202112201200} is an apocalyptic number.

212202112201200 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 212202112201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411607665954576).

212202112201200 is an abundant number, since it is smaller than the sum of its proper divisors (611013219707952).

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

212202112201200 is a wasteful number, since it uses less digits than its factorization.

212202112201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43874 (or 43860 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212202112201200 its reverse (2102211202212), we get a palindrome (214304323403412).

The spelling of 212202112201200 in words is "two hundred twelve trillion, two hundred two billion, one hundred twelve million, two hundred one thousand, two hundred".