211111020120 has 512 divisors, whose sum is σ = 858817935360. Its totient is φ = 40089600000.

The previous prime is 211111020091. The next prime is 211111020143. The reversal of 211111020120 is 21020111112.

It is a super-2 number, since 2×211111020120² (a number of 23 digits) contains 22 as substring.

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 = 211111020096 and 211111020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12123420 + ... + 12140820.

It is an arithmetic number, because the mean of its divisors is an integer number (1677378780).

Almost surely, 2^211111020120 is an apocalyptic number.

211111020120 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 211111020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429408967680).

211111020120 is an abundant number, since it is smaller than the sum of its proper divisors (647706915240).

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

211111020120 is a wasteful number, since it uses less digits than its factorization.

211111020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17547 (or 17543 counting only the distinct ones).

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

Adding to 211111020120 its reverse (21020111112), we get a palindrome (232131131232).

The spelling of 211111020120 in words is "two hundred eleven billion, one hundred eleven million, twenty thousand, one hundred twenty".