211022122001220 has 72 divisors (see below), whose sum is σ = 655712642534040. Its totient is φ = 54900064258560.

The previous prime is 211022122001161. The next prime is 211022122001221. The reversal of 211022122001220 is 22100221220112.

It is a happy number.

211022122001220 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 221 + 220 + 0 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3404224262916 + 207617897738304 = 1845054^2 + 14408952^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 211022122001193 and 211022122001202.

It is not an unprimeable number, because it can be changed into a prime (211022122001221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14296884355 + ... + 14296899114.

It is an arithmetic number, because the mean of its divisors is an integer number (9107120035195).

Almost surely, 2^{211022122001220} is an apocalyptic number.

211022122001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022122001220 is an abundant number, since it is smaller than the sum of its proper divisors (444690520532820).

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

211022122001220 is a wasteful number, since it uses less digits than its factorization.

211022122001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28593783525 (or 28593783520 counting only the distinct ones).

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

Adding to 211022122001220 its reverse (22100221220112), we get a palindrome (233122343221332).

The spelling of 211022122001220 in words is "two hundred eleven trillion, twenty-two billion, one hundred twenty-two million, one thousand, two hundred twenty".