211020111120 has 480 divisors, whose sum is σ = 855144767232. Its totient is φ = 42586435584.

The previous prime is 211020111109. The next prime is 211020111151. The reversal of 211020111120 is 21111020112.

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 = 211020111096 and 211020111105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3486234 + ... + 3546246.

Almost surely, 2^211020111120 is an apocalyptic number.

211020111120 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 211020111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427572383616).

211020111120 is an abundant number, since it is smaller than the sum of its proper divisors (644124656112).

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

211020111120 is a wasteful number, since it uses less digits than its factorization.

211020111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60079 (or 60066 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211020111120 its reverse (21111020112), we get a palindrome (232131131232).

The spelling of 211020111120 in words is "two hundred eleven billion, twenty million, one hundred eleven thousand, one hundred twenty".