4212314120 has 128 divisors (see below), whose sum is σ = 11073576960. Its totient is φ = 1412294400.

The previous prime is 4212314089. The next prime is 4212314137. The reversal of 4212314120 is 214132124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4212314092 and 4212314101.

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 31 ways as a sum of consecutive naturals, for example, 2832017 + ... + 2833503.

It is an arithmetic number, because the mean of its divisors is an integer number (86512320).

Almost surely, 2^4212314120 is an apocalyptic number.

4212314120 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 4212314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536788480).

4212314120 is an abundant number, since it is smaller than the sum of its proper divisors (6861262840).

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

4212314120 is a wasteful number, since it uses less digits than its factorization.

4212314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4212314120 is about 64902.3429469230. The cubic root of 4212314120 is about 1615.0039292271.

Adding to 4212314120 its reverse (214132124), we get a palindrome (4426446244).

The spelling of 4212314120 in words is "four billion, two hundred twelve million, three hundred fourteen thousand, one hundred twenty".