211122122120 has 256 divisors, whose sum is σ = 619992092160. Its totient is φ = 62789271552.

The previous prime is 211122122119. The next prime is 211122122149. The reversal of 211122122120 is 21221221112.

211122122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 46840907 + ... + 46845413.

It is an arithmetic number, because the mean of its divisors is an integer number (2421844110).

Almost surely, 2^211122122120 is an apocalyptic number.

211122122120 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 211122122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309996046080).

211122122120 is an abundant number, since it is smaller than the sum of its proper divisors (408869970040).

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

211122122120 is a wasteful number, since it uses less digits than its factorization.

211122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5308 counting only the distinct ones).

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

Adding to 211122122120 its reverse (21221221112), we get a palindrome (232343343232).

The spelling of 211122122120 in words is "two hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".