212201222231200 has 288 divisors, whose sum is σ = 530095255732224. Its totient is φ = 82934557655040.

The previous prime is 212201222231129. The next prime is 212201222231203. The reversal of 212201222231200 is 2132222102212.

It is a happy number.

212201222231200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212201222231203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1802426737 + ... + 1802544463.

It is an arithmetic number, because the mean of its divisors is an integer number (1840608526848).

Almost surely, 2^{212201222231200} is an apocalyptic number.

212201222231200 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 212201222231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265047627866112).

212201222231200 is an abundant number, since it is smaller than the sum of its proper divisors (317894033501024).

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

212201222231200 is a wasteful number, since it uses less digits than its factorization.

212201222231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118144 (or 118131 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 212201222231200 its reverse (2132222102212), we get a palindrome (214333444333412).

The spelling of 212201222231200 in words is "two hundred twelve trillion, two hundred one billion, two hundred twenty-two million, two hundred thirty-one thousand, two hundred".