211222201220000 has 120 divisors (see below), whose sum is σ = 537556861818900. Its totient is φ = 81575470592000.

The previous prime is 211222201219969. The next prime is 211222201220033. The reversal of 211222201220000 is 22102222112.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 8446765694224 + 202775435525776 = 2906332^2 + 14239924^2 .

It is a super-2 number, since 2×211222201220000² (a number of 29 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 181508105 + ... + 182668104.

Almost surely, 2^{211222201220000} is an apocalyptic number.

211222201220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222201220000 is an abundant number, since it is smaller than the sum of its proper divisors (326334660598900).

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

211222201220000 is an equidigital number, since it uses as much as digits as its factorization.

211222201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364176268 (or 364176245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 211222201220000 its reverse (22102222112), we get a palindrome (211244303442112).

The spelling of 211222201220000 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred one million, two hundred twenty thousand".