212123112 has 64 divisors (see below), whose sum is σ = 555932160. Its totient is φ = 67320000.

The previous prime is 212123083. The next prime is 212123117. The reversal of 212123112 is 211321212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212123091 and 212123100.

It is not an unprimeable number, because it can be changed into a prime (212123117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137787 + ... + 139317.

It is an arithmetic number, because the mean of its divisors is an integer number (8686440).

Almost surely, 2^212123112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277966080).

212123112 is an abundant number, since it is smaller than the sum of its proper divisors (343809048).

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

212123112 is a wasteful number, since it uses less digits than its factorization.

212123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1810 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 212123112 is about 14564.4468484045. The cubic root of 212123112 is about 596.3885954291.

Adding to 212123112 its reverse (211321212), we get a palindrome (423444324).

The spelling of 212123112 in words is "two hundred twelve million, one hundred twenty-three thousand, one hundred twelve".