212112121122 has 80 divisors (see below), whose sum is σ = 520267188672. Its totient is φ = 64056869280.

The previous prime is 212112121079. The next prime is 212112121139. The reversal of 212112121122 is 221121211212.

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 a junction number, because it is equal to n+sod(n) for n = 212112121095 and 212112121104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319003 + ... + 725249.

Almost surely, 2^212112121122 is an apocalyptic number.

212112121122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260133594336).

212112121122 is an abundant number, since it is smaller than the sum of its proper divisors (308155067550).

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

212112121122 is a wasteful number, since it uses less digits than its factorization.

212112121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406565 (or 406556 counting only the distinct ones).

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

Adding to 212112121122 its reverse (221121211212), we get a palindrome (433233332334).

The spelling of 212112121122 in words is "two hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-two".