212212102120 has 64 divisors (see below), whose sum is σ = 485610325200. Its totient is φ = 83440711680.

The previous prime is 212212102099. The next prime is 212212102121. The reversal of 212212102120 is 21201212212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21699057636 + 190513044484 = 147306^2 + 436478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212212102094 and 212212102103.

It is not an unprimeable number, because it can be changed into a prime (212212102121) 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, 3967716 + ... + 4020844.

Almost surely, 2^212212102120 is an apocalyptic number.

212212102120 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 212212102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242805162600).

212212102120 is an abundant number, since it is smaller than the sum of its proper divisors (273398223080).

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

212212102120 is a wasteful number, since it uses less digits than its factorization.

212212102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54838 (or 54834 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212212102120 its reverse (21201212212), we get a palindrome (233413314332).

The spelling of 212212102120 in words is "two hundred twelve billion, two hundred twelve million, one hundred two thousand, one hundred twenty".