212132122333200 has 480 divisors, whose sum is σ = 787013347425920. Its totient is φ = 54218191104000.

The previous prime is 212132122333193. The next prime is 212132122333213. The reversal of 212132122333200 is 2333221231212.

212132122333200 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 2 + 122 + 333 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22811550 + ... + 30734850.

Almost surely, 2^{212132122333200} is an apocalyptic number.

212132122333200 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 212132122333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393506673712960).

212132122333200 is an abundant number, since it is smaller than the sum of its proper divisors (574881225092720).

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

212132122333200 is a wasteful number, since it uses less digits than its factorization.

212132122333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7923432 (or 7923415 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212132122333200 its reverse (2333221231212), we get a palindrome (214465343564412).

It can be divided in two parts, 2121321 and 22333200, that added together give a triangular number (24454521 = T₆₉₉₃).

The spelling of 212132122333200 in words is "two hundred twelve trillion, one hundred thirty-two billion, one hundred twenty-two million, three hundred thirty-three thousand, two hundred".