212133114200 has 96 divisors (see below), whose sum is σ = 564977410560. Its totient is φ = 72562396800.

The previous prime is 212133114187. The next prime is 212133114203. The reversal of 212133114200 is 2411331212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133114203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 427619 + ... + 779181.

It is an arithmetic number, because the mean of its divisors is an integer number (5885181360).

Almost surely, 2^212133114200 is an apocalyptic number.

212133114200 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 212133114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282488705280).

212133114200 is an abundant number, since it is smaller than the sum of its proper divisors (352844296360).

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

212133114200 is a wasteful number, since it uses less digits than its factorization.

212133114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352017 (or 352008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212133114200 its reverse (2411331212), we get a palindrome (214544445412).

The spelling of 212133114200 in words is "two hundred twelve billion, one hundred thirty-three million, one hundred fourteen thousand, two hundred".