212220110222120 has 1024 divisors, whose sum is σ = 665840232529920. Its totient is φ = 58749235200000.

The previous prime is 212220110222119. The next prime is 212220110222137. The reversal of 212220110222120 is 21222011022212.

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 = 212220110222092 and 212220110222101.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 44933326079 + ... + 44933330801.

It is an arithmetic number, because the mean of its divisors is an integer number (650234602080).

Almost surely, 2^{212220110222120} is an apocalyptic number.

212220110222120 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 212220110222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332920116264960).

212220110222120 is an abundant number, since it is smaller than the sum of its proper divisors (453620122307800).

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

212220110222120 is a wasteful number, since it uses less digits than its factorization.

212220110222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212220110222120 its reverse (21222011022212), we get a palindrome (233442121244332).

It can be divided in two parts, 2122201 and 10222120, that added together give a palindrome (12344321).

The spelling of 212220110222120 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred ten million, two hundred twenty-two thousand, one hundred twenty".