211122120 has 256 divisors, whose sum is σ = 731566080. Its totient is φ = 48281600.

The previous prime is 211122101. The next prime is 211122137. The reversal of 211122120 is 21221112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211122096 and 211122105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2543599 + ... + 2543681.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 2^211122120 is an apocalyptic number.

211122120 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 211122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

211122120 is an abundant number, since it is smaller than the sum of its proper divisors (520443960).

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

211122120 is a wasteful number, since it uses less digits than its factorization.

211122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 211122120 is about 14530.0419820453. The cubic root of 211122120 is about 595.4490125759.

Adding to 211122120 its reverse (21221112), we get a palindrome (232343232).

It can be divided in two parts, 21112 and 2120, that added together give a palindrome (23232).

The spelling of 211122120 in words is "two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".