212111122212 has 288 divisors, whose sum is σ = 643562599680. Its totient is φ = 58145955840.

The previous prime is 212111122189. The next prime is 212111122213. The reversal of 212111122212 is 212221111212.

It is a super-2 number, since 2×212111122212² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212111122213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45485793 + ... + 45490455.

It is an arithmetic number, because the mean of its divisors is an integer number (2234592360).

Almost surely, 2^212111122212 is an apocalyptic number.

212111122212 is a gapful number since it is divisible by the number (22) 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 212111122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321781299840).

212111122212 is an abundant number, since it is smaller than the sum of its proper divisors (431451477468).

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

212111122212 is a wasteful number, since it uses less digits than its factorization.

212111122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4958 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 212111122212 its reverse (212221111212), we get a palindrome (424332233424).

The spelling of 212111122212 in words is "two hundred twelve billion, one hundred eleven million, one hundred twenty-two thousand, two hundred twelve".