212222102022000 has 960 divisors, whose sum is σ = 914421718978560. Its totient is φ = 44798890752000.

The previous prime is 212222102021999. The next prime is 212222102022013. The reversal of 212222102022000 is 220201222212.

212222102022000 is a `hidden beast` number, since 21 + 22 + 221 + 0 + 202 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82779405 + ... + 85304595.

It is an arithmetic number, because the mean of its divisors is an integer number (952522623936).

Almost surely, 2^{212222102022000} is an apocalyptic number.

212222102022000 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 212222102022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457210859489280).

212222102022000 is an abundant number, since it is smaller than the sum of its proper divisors (702199616956560).

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

212222102022000 is a wasteful number, since it uses less digits than its factorization.

212222102022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525279 (or 2525260 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212222102022000 its reverse (220201222212), we get a palindrome (212442303244212).

The spelling of 212222102022000 in words is "two hundred twelve trillion, two hundred twenty-two billion, one hundred two million, twenty-two thousand".