212112201201200 has 120 divisors (see below), whose sum is σ = 521685591930096. Its totient is φ = 82834416000000.

The previous prime is 212112201201149. The next prime is 212112201201203. The reversal of 212112201201200 is 2102102211212.

It is not an unprimeable number, because it can be changed into a prime (212112201201203) 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, 35424950 + ... + 40977450.

Almost surely, 2^{212112201201200} is an apocalyptic number.

212112201201200 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 212112201201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260842795965048).

212112201201200 is an abundant number, since it is smaller than the sum of its proper divisors (309573390728896).

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

212112201201200 is a wasteful number, since it uses less digits than its factorization.

212112201201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554783 (or 5554772 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212112201201200 its reverse (2102102211212), we get a palindrome (214214303412412).

The spelling of 212112201201200 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred one million, two hundred one thousand, two hundred".