212321133333000 has 512 divisors, whose sum is σ = 756086959180800. Its totient is φ = 55077998976000.

The previous prime is 212321133332989. The next prime is 212321133333053. The reversal of 212321133333000 is 333331123212.

212321133333000 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 21 + 1 + 3 + 333 + 300 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 6000975310 + ... + 6001010690.

It is an arithmetic number, because the mean of its divisors is an integer number (1476732342150).

Almost surely, 2^{212321133333000} is an apocalyptic number.

212321133333000 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 212321133333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378043479590400).

212321133333000 is an abundant number, since it is smaller than the sum of its proper divisors (543765825847800).

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

212321133333000 is a wasteful number, since it uses less digits than its factorization.

212321133333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41455 (or 41435 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 212321133333000 its reverse (333331123212), we get a palindrome (212654464456212).

The spelling of 212321133333000 in words is "two hundred twelve trillion, three hundred twenty-one billion, one hundred thirty-three million, three hundred thirty-three thousand".