212820120 has 96 divisors (see below), whose sum is σ = 696805200. Its totient is φ = 56330496.

The previous prime is 212820119. The next prime is 212820133. The reversal of 212820120 is 21028212.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 212820093 and 212820102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47914 + ... + 52166.

Almost surely, 2^212820120 is an apocalyptic number.

212820120 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 212820120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348402600).

212820120 is an abundant number, since it is smaller than the sum of its proper divisors (483985080).

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

212820120 is a wasteful number, since it uses less digits than its factorization.

212820120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409 (or 4402 counting only the distinct ones).

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

The square root of 212820120 is about 14588.3556304335. The cubic root of 212820120 is about 597.0410988263.

Adding to 212820120 its reverse (21028212), we get a palindrome (233848332).

The spelling of 212820120 in words is "two hundred twelve million, eight hundred twenty thousand, one hundred twenty".