4120200 has 192 divisors, whose sum is σ = 16368000. Its totient is φ = 933120.

The previous prime is 4120189. The next prime is 4120211. The reversal of 4120200 is 20214.

It is an interprime number because it is at equal distance from previous prime (4120189) and next prime (4120211).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 37746 + ... + 37854.

It is an arithmetic number, because the mean of its divisors is an integer number (85250).

Almost surely, 2^4120200 is an apocalyptic number.

4120200 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 4120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184000).

4120200 is an abundant number, since it is smaller than the sum of its proper divisors (12247800).

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

4120200 is a wasteful number, since it uses less digits than its factorization.

4120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

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

The square root of 4120200 is about 2029.8275788845. The cubic root of 4120200 is about 160.3144856291.

Adding to 4120200 its reverse (20214), we get a palindrome (4140414).

The spelling of 4120200 in words is "four million, one hundred twenty thousand, two hundred".