211221211222120 has 128 divisors (see below), whose sum is σ = 529681608564480. Its totient is φ = 75157125120000.

The previous prime is 211221211222117. The next prime is 211221211222141. The reversal of 211221211222120 is 21222112122112.

It is a super-2 number, since 2×211221211222120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211221211222091 and 211221211222100.

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 31 ways as a sum of consecutive naturals, for example, 15207556 + ... + 25567795.

It is an arithmetic number, because the mean of its divisors is an integer number (4138137566910).

Almost surely, 2^{211221211222120} is an apocalyptic number.

211221211222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221211222120 is an abundant number, since it is smaller than the sum of its proper divisors (318460397342360).

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

211221211222120 is a wasteful number, since it uses less digits than its factorization.

211221211222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40775627 (or 40775623 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 211221211222120 its reverse (21222112122112), we get a palindrome (232443323344232).

The spelling of 211221211222120 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty".