212221212101120 has 80 divisors (see below), whose sum is σ = 512494189210080. Its totient is φ = 84277776175104.

The previous prime is 212221212101099. The next prime is 212221212101123. The reversal of 212221212101120 is 21101212122212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212221212101092 and 212221212101101.

It is not an unprimeable number, because it can be changed into a prime (212221212101123) 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 7 ways as a sum of consecutive naturals, for example, 297841682 + ... + 298553361.

It is an arithmetic number, because the mean of its divisors is an integer number (6406177365126).

Almost surely, 2^{212221212101120} is an apocalyptic number.

212221212101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221212101120 is an abundant number, since it is smaller than the sum of its proper divisors (300272977108960).

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

212221212101120 is an equidigital number, since it uses as much as digits as its factorization.

212221212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596395205 (or 596395189 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212221212101120 its reverse (21101212122212), we get a palindrome (233322424223332).

The spelling of 212221212101120 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred twelve million, one hundred one thousand, one hundred twenty".