212022120 has 64 divisors (see below), whose sum is σ = 640333440. Its totient is φ = 56160000.

The previous prime is 212022091. The next prime is 212022143. The reversal of 212022120 is 21220212.

It is a super-3 number, since 3×212022120³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212022096 and 212022105.

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 15 ways as a sum of consecutive naturals, for example, 12270 + ... + 23970.

It is an arithmetic number, because the mean of its divisors is an integer number (10005210).

Almost surely, 2^212022120 is an apocalyptic number.

212022120 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 212022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320166720).

212022120 is an abundant number, since it is smaller than the sum of its proper divisors (428311320).

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

212022120 is a wasteful number, since it uses less digits than its factorization.

212022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11866 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212022120 is about 14560.9793626665. The cubic root of 212022120 is about 596.2939333599.

Adding to 212022120 its reverse (21220212), we get a palindrome (233242332).

The spelling of 212022120 in words is "two hundred twelve million, twenty-two thousand, one hundred twenty".