212414220 has 72 divisors (see below), whose sum is σ = 646341696. Its totient is φ = 56466432.

The previous prime is 212414207. The next prime is 212414233. The reversal of 212414220 is 22414212.

212414220 is a `hidden beast` number, since 2 + 1 + 241 + 422 + 0 = 666.

212414220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212414207) and next prime (212414233).

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 = 212414193 and 212414202.

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, 61869 + ... + 65211.

It is an arithmetic number, because the mean of its divisors is an integer number (8976968).

Almost surely, 2^212414220 is an apocalyptic number.

212414220 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 212414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323170848).

212414220 is an abundant number, since it is smaller than the sum of its proper divisors (433927476).

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

212414220 is a wasteful number, since it uses less digits than its factorization.

212414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212414220 is about 14574.4372104037. The cubic root of 212414220 is about 596.6612894799.

Adding to 212414220 its reverse (22414212), we get a palindrome (234828432).

The spelling of 212414220 in words is "two hundred twelve million, four hundred fourteen thousand, two hundred twenty".