4200120 has 64 divisors (see below), whose sum is σ = 14004000. Its totient is φ = 1119744.

The previous prime is 4200113. The next prime is 4200127. The reversal of 4200120 is 210024.

It is an interprime number because it is at equal distance from previous prime (4200113) and next prime (4200127).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865 + ... + 3024.

Almost surely, 2^4200120 is an apocalyptic number.

4200120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200120 is an abundant number, since it is smaller than the sum of its proper divisors (9803880).

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

4200120 is a wasteful number, since it uses less digits than its factorization.

4200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4200120 is about 2049.4194299850. The cubic root of 4200120 is about 161.3444011865.

Adding to 4200120 its reverse (210024), we get a palindrome (4410144).

The spelling of 4200120 in words is "four million, two hundred thousand, one hundred twenty".