4214120 has 32 divisors (see below), whose sum is σ = 9563400. Its totient is φ = 1671168.

The previous prime is 4214117. The next prime is 4214123. The reversal of 4214120 is 214124.

It is an interprime number because it is at equal distance from previous prime (4214117) and next prime (4214123).

It can be written as a sum of positive squares in 4 ways, for example, as 3334276 + 879844 = 1826^2 + 938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4214095 and 4214104.

It is not an unprimeable number, because it can be changed into a prime (4214123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5096 + ... + 5864.

Almost surely, 2^4214120 is an apocalyptic number.

4214120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214120 is an abundant number, since it is smaller than the sum of its proper divisors (5349280).

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

4214120 is a wasteful number, since it uses less digits than its factorization.

4214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4214120 is about 2052.8321899269. The cubic root of 4214120 is about 161.5234688103.

Adding to 4214120 its reverse (214124), we get a palindrome (4428244).

It can be divided in two parts, 4214 and 120, that added together give a palindrome (4334).

The spelling of 4214120 in words is "four million, two hundred fourteen thousand, one hundred twenty".