212122022112 has 576 divisors, whose sum is σ = 825261405696. Its totient is φ = 49895239680.

The previous prime is 212122022089. The next prime is 212122022117. The reversal of 212122022112 is 211220221212.

It is a happy number.

212122022112 is a `hidden beast` number, since 212 + 1 + 220 + 221 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122022117) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 15272323 + ... + 15286205.

It is an arithmetic number, because the mean of its divisors is an integer number (1432745496).

Almost surely, 2^212122022112 is an apocalyptic number.

212122022112 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 212122022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412630702848).

212122022112 is an abundant number, since it is smaller than the sum of its proper divisors (613139383584).

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

212122022112 is a wasteful number, since it uses less digits than its factorization.

212122022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13983 (or 13972 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212122022112 its reverse (211220221212), we get a palindrome (423342243324).

Subtracting from 212122022112 its reverse (211220221212), we obtain a square (901800900 = 30030²).

The spelling of 212122022112 in words is "two hundred twelve billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".