212111012120 has 256 divisors, whose sum is σ = 622745625600. Its totient is φ = 63260835840.

The previous prime is 212111012093. The next prime is 212111012149. The reversal of 212111012120 is 21210111212.

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 = 212111012095 and 212111012104.

It is a congruent number.

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, 3679439 + ... + 3736641.

It is an arithmetic number, because the mean of its divisors is an integer number (2432600100).

Almost surely, 2^212111012120 is an apocalyptic number.

212111012120 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 212111012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311372812800).

212111012120 is an abundant number, since it is smaller than the sum of its proper divisors (410634613480).

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

212111012120 is a wasteful number, since it uses less digits than its factorization.

212111012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57298 (or 57294 counting only the distinct ones).

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

Adding to 212111012120 its reverse (21210111212), we get a palindrome (233321123332).

The spelling of 212111012120 in words is "two hundred twelve billion, one hundred eleven million, twelve thousand, one hundred twenty".