212201022011200 has 168 divisors, whose sum is σ = 539881355006784. Its totient is φ = 82036225536000.

The previous prime is 212201022011179. The next prime is 212201022011203. The reversal of 212201022011200 is 2110220102212.

It is a happy number.

212201022011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201022011203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8096556 + ... + 22134955.

It is an arithmetic number, because the mean of its divisors is an integer number (3213579494088).

Almost surely, 2^{212201022011200} is an apocalyptic number.

212201022011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201022011200 is an abundant number, since it is smaller than the sum of its proper divisors (327680332995584).

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

212201022011200 is a wasteful number, since it uses less digits than its factorization.

212201022011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30231681 (or 30231666 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212201022011200 its reverse (2110220102212), we get a palindrome (214311242113412).

The spelling of 212201022011200 in words is "two hundred twelve trillion, two hundred one billion, twenty-two million, eleven thousand, two hundred".