211122211211120 has 160 divisors (see below), whose sum is σ = 545660287024320. Its totient is φ = 75319031808000.

The previous prime is 211122211211063. The next prime is 211122211211189. The reversal of 211122211211120 is 21112112221112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211122211211092 and 211122211211101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15826280 + ... + 25936760.

It is an arithmetic number, because the mean of its divisors is an integer number (3410376793902).

Almost surely, 2^{211122211211120} is an apocalyptic number.

211122211211120 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 211122211211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272830143512160).

211122211211120 is an abundant number, since it is smaller than the sum of its proper divisors (334538075813200).

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

211122211211120 is a wasteful number, since it uses less digits than its factorization.

211122211211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110955 (or 10110949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 211122211211120 its reverse (21112112221112), we get a palindrome (232234323432232).

The spelling of 211122211211120 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".