212221133331000 has 256 divisors, whose sum is σ = 703954398551040. Its totient is φ = 53110412326400.

The previous prime is 212221133330903. The next prime is 212221133331007. The reversal of 212221133331000 is 133331122212.

It is a super-2 number, since 2×212221133331000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221133331007) 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 63 ways as a sum of consecutive naturals, for example, 25358742 + ... + 32672741.

It is an arithmetic number, because the mean of its divisors is an integer number (2749821869340).

Almost surely, 2^{212221133331000} is an apocalyptic number.

212221133331000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221133331000 is an abundant number, since it is smaller than the sum of its proper divisors (491733265220040).

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

212221133331000 is a wasteful number, since it uses less digits than its factorization.

212221133331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58031583 (or 58031569 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 212221133331000 its reverse (133331122212), we get a palindrome (212354464453212).

The spelling of 212221133331000 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred thirty-three million, three hundred thirty-one thousand".