4002120 has 48 divisors (see below), whose sum is σ = 13008060. Its totient is φ = 1067136.

The previous prime is 4002113. The next prime is 4002127. The reversal of 4002120 is 212004.

It is an interprime number because it is at equal distance from previous prime (4002113) and next prime (4002127).

It can be written as a sum of positive squares in 2 ways, for example, as 3663396 + 338724 = 1914^2 + 582^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4002127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5199 + ... + 5918.

Almost surely, 2^4002120 is an apocalyptic number.

4002120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002120 is an abundant number, since it is smaller than the sum of its proper divisors (9005940).

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

4002120 is a wasteful number, since it uses less digits than its factorization.

4002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134 (or 11127 counting only the distinct ones).

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

The square root of 4002120 is about 2000.5299297936. The cubic root of 4002120 is about 158.7681443291.

Adding to 4002120 its reverse (212004), we get a palindrome (4214124).

The spelling of 4002120 in words is "four million, two thousand, one hundred twenty".