4210200120 has 256 divisors, whose sum is σ = 15304089600. Its totient is φ = 905126400.

The previous prime is 4210200097. The next prime is 4210200121. The reversal of 4210200120 is 210020124.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4210200096 and 4210200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4210200121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2409087 + ... + 2410833.

It is an arithmetic number, because the mean of its divisors is an integer number (59781600).

Almost surely, 2^4210200120 is an apocalyptic number.

4210200120 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 4210200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652044800).

4210200120 is an abundant number, since it is smaller than the sum of its proper divisors (11093889480).

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

4210200120 is a wasteful number, since it uses less digits than its factorization.

4210200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4210200120 is about 64886.0548962564. The cubic root of 4210200120 is about 1614.7337143676.

Adding to 4210200120 its reverse (210020124), we get a palindrome (4420220244).

The spelling of 4210200120 in words is "four billion, two hundred ten million, two hundred thousand, one hundred twenty".