211222202210120 has 16 divisors (see below), whose sum is σ = 475249954972860. Its totient is φ = 84488880884032.

The previous prime is 211222202210113. The next prime is 211222202210161. The reversal of 211222202210120 is 21012202222112.

It can be written as a sum of positive squares in 2 ways, for example, as 211178035825156 + 44166384964 = 14531966^2 + 210158^2 .

It is a super-2 number, since 2×211222202210120² (a number of 29 digits) contains 22 as substring.

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 = 211222202210092 and 211222202210101.

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 3 ways as a sum of consecutive naturals, for example, 2640277527587 + ... + 2640277527666.

Almost surely, 2^{211222202210120} is an apocalyptic number.

211222202210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222202210120 is an abundant number, since it is smaller than the sum of its proper divisors (264027752762740).

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

211222202210120 is a wasteful number, since it uses less digits than its factorization.

211222202210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280555055264 (or 5280555055260 counting only the distinct ones).

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

Adding to 211222202210120 its reverse (21012202222112), we get a palindrome (232234404432232).

The spelling of 211222202210120 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred two million, two hundred ten thousand, one hundred twenty".