212134221200 has 240 divisors, whose sum is σ = 593210692800. Its totient is φ = 72044544000.

The previous prime is 212134221193. The next prime is 212134221227. The reversal of 212134221200 is 2122431212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9787976 + ... + 9809624.

It is an arithmetic number, because the mean of its divisors is an integer number (2471711220).

Almost surely, 2^212134221200 is an apocalyptic number.

212134221200 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 212134221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296605346400).

212134221200 is an abundant number, since it is smaller than the sum of its proper divisors (381076471600).

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

212134221200 is a wasteful number, since it uses less digits than its factorization.

212134221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21826 (or 21815 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212134221200 its reverse (2122431212), we get a palindrome (214256652412).

It can be divided in two parts, 212134 and 221200, that added together give a palindrome (433334).

The spelling of 212134221200 in words is "two hundred twelve billion, one hundred thirty-four million, two hundred twenty-one thousand, two hundred".