211221200220120 has 160 divisors (see below), whose sum is σ = 716220560689920. Its totient is φ = 55827196185600.

The previous prime is 211221200220109. The next prime is 211221200220229. The reversal of 211221200220120 is 21022002122112.

It is a happy number.

211221200220120 is a `hidden beast` number, since 2 + 1 + 1 + 221 + 200 + 220 + 1 + 20 = 666.

It is a super-2 number, since 2×211221200220120² (a number of 29 digits) contains 22 as substring.

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 = 211221200220093 and 211221200220102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 288092856 + ... + 288825095.

It is an arithmetic number, because the mean of its divisors is an integer number (4476378504312).

Almost surely, 2^{211221200220120} is an apocalyptic number.

211221200220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221200220120 is an abundant number, since it is smaller than the sum of its proper divisors (504999360469800).

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

211221200220120 is a wasteful number, since it uses less digits than its factorization.

211221200220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576918087 (or 576918074 counting only the distinct ones).

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

Adding to 211221200220120 its reverse (21022002122112), we get a palindrome (232243202342232).

The spelling of 211221200220120 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred million, two hundred twenty thousand, one hundred twenty".