4212120 has 64 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1020800.

The previous prime is 4212119. The next prime is 4212121. The reversal of 4212120 is 212124.

It is an interprime number because it is at equal distance from previous prime (4212119) and next prime (4212121).

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 = 4212096 and 4212105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^4212120 is an apocalyptic number.

4212120 is a gapful number since it is divisible by the number (40) 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 4212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4212120 is an abundant number, since it is smaller than the sum of its proper divisors (9577320).

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

4212120 is a wasteful number, since it uses less digits than its factorization.

4212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3212 counting only the distinct ones).

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

The square root of 4212120 is about 2052.3450002375. The cubic root of 4212120 is about 161.4979120269.

Adding to 4212120 its reverse (212124), we get a palindrome (4424244).

The spelling of 4212120 in words is "four million, two hundred twelve thousand, one hundred twenty".