211222011022120 has 256 divisors, whose sum is σ = 552536830771200. Its totient is φ = 71173129144320.

The previous prime is 211222011022091. The next prime is 211222011022189. The reversal of 211222011022120 is 21220110222112.

It is a super-2 number, since 2×211222011022120² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 10411682617 + ... + 10411702903.

It is an arithmetic number, because the mean of its divisors is an integer number (2158346995200).

Almost surely, 2^{211222011022120} is an apocalyptic number.

211222011022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222011022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276268415385600).

211222011022120 is an abundant number, since it is smaller than the sum of its proper divisors (341314819749080).

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

211222011022120 is a wasteful number, since it uses less digits than its factorization.

211222011022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22008 (or 22004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 211222011022120 its reverse (21220110222112), we get a palindrome (232442121244232).

The spelling of 211222011022120 in words is "two hundred eleven trillion, two hundred twenty-two billion, eleven million, twenty-two thousand, one hundred twenty".