212221202112000 has 240 divisors, whose sum is σ = 764380980606672. Its totient is φ = 56592320409600.

The previous prime is 212221202111987. The next prime is 212221202112019. The reversal of 212221202112000 is 211202122212.

It is a happy number.

212221202112000 is a `hidden beast` number, since 2 + 12 + 221 + 20 + 211 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 183643794 + ... + 184795793.

Almost surely, 2^{212221202112000} is an apocalyptic number.

212221202112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221202112000 is an abundant number, since it is smaller than the sum of its proper divisors (552159778494672).

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

212221202112000 is an equidigital number, since it uses as much as digits as its factorization.

212221202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368439626 (or 368439597 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212221202112000 its reverse (211202122212), we get a palindrome (212432404234212).

The spelling of 212221202112000 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred two million, one hundred twelve thousand".