201111212120 has 512 divisors, whose sum is σ = 585113518080. Its totient is φ = 60538060800.

The previous prime is 201111212111. The next prime is 201111212131. The reversal of 201111212120 is 21212111102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201111212095 and 201111212104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1779745184 + ... + 1779745296.

It is an arithmetic number, because the mean of its divisors is an integer number (1142799840).

Almost surely, 2^201111212120 is an apocalyptic number.

201111212120 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 201111212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292556759040).

201111212120 is an abundant number, since it is smaller than the sum of its proper divisors (384002305960).

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

201111212120 is a wasteful number, since it uses less digits than its factorization.

201111212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201111212120 its reverse (21212111102), we get a palindrome (222323323222).

The spelling of 201111212120 in words is "two hundred one billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty".