212133102022000 has 320 divisors, whose sum is σ = 560117539897344. Its totient is φ = 77390343475200.

The previous prime is 212133102021877. The next prime is 212133102022057. The reversal of 212133102022000 is 220201331212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185102749 + ... + 186245251.

Almost surely, 2^{212133102022000} is an apocalyptic number.

212133102022000 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 212133102022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280058769948672).

212133102022000 is an abundant number, since it is smaller than the sum of its proper divisors (347984437875344).

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

212133102022000 is a wasteful number, since it uses less digits than its factorization.

212133102022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142713 (or 1142697 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212133102022000 its reverse (220201331212), we get a palindrome (212353303353212).

The spelling of 212133102022000 in words is "two hundred twelve trillion, one hundred thirty-three billion, one hundred two million, twenty-two thousand".