212211221121000 has 192 divisors, whose sum is σ = 718297164046800. Its totient is φ = 56508930240000.

The previous prime is 212211221120953. The next prime is 212211221121001. The reversal of 212211221121000 is 121122112212.

212211221121000 is a `hidden beast` number, since 21 + 2 + 211 + 221 + 1 + 210 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18900738860004 + 193310482260996 = 4347498^2 + 13903614^2 .

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

It is not an unprimeable number, because it can be changed into a prime (212211221121001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10509135 + ... + 23127134.

Almost surely, 2^{212211221121000} is an apocalyptic number.

212211221121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211221121000 is an abundant number, since it is smaller than the sum of its proper divisors (506085942925800).

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

212211221121000 is a wasteful number, since it uses less digits than its factorization.

212211221121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33636997 (or 33636980 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212211221121000 its reverse (121122112212), we get a palindrome (212332343233212).

The spelling of 212211221121000 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-one thousand".