211122210120120 has 320 divisors, whose sum is σ = 804410763156000. Its totient is φ = 49233357315072.

The previous prime is 211122210120097. The next prime is 211122210120161. The reversal of 211122210120120 is 21021012221112.

211122210120120 is a `hidden beast` number, since 211 + 1 + 2 + 2 + 210 + 120 + 120 = 666.

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 = 211122210120093 and 211122210120102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131104935 + ... + 132705494.

Almost surely, 2^{211122210120120} is an apocalyptic number.

211122210120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122210120120 is an abundant number, since it is smaller than the sum of its proper divisors (593288553035880).

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

211122210120120 is a wasteful number, since it uses less digits than its factorization.

211122210120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263810484 (or 263810471 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122210120120 its reverse (21021012221112), we get a palindrome (232143222341232).

The spelling of 211122210120120 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty thousand, one hundred twenty".