211221122120 has 32 divisors (see below), whose sum is σ = 475284958200. Its totient is φ = 84481794048.

The previous prime is 211221122111. The next prime is 211221122137. The reversal of 211221122120 is 21221122112.

It can be written as a sum of positive squares in 4 ways, for example, as 170025924964 + 41195197156 = 412342^2 + 202966^2 .

It is a super-2 number, since 2×211221122120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322952 + ... + 725768.

Almost surely, 2^211221122120 is an apocalyptic number.

211221122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221122120 is an abundant number, since it is smaller than the sum of its proper divisors (264063836080).

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

211221122120 is a wasteful number, since it uses less digits than its factorization.

211221122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415937 (or 415933 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211221122120 its reverse (21221122112), we get a palindrome (232442244232).

The spelling of 211221122120 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".