4201120 has 144 divisors (see below), whose sum is σ = 12870144. Its totient is φ = 1267200.

The previous prime is 4201103. The next prime is 4201123. The reversal of 4201120 is 211024.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 4201097 and 4201106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135505 + ... + 135535.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

Almost surely, 2^4201120 is an apocalyptic number.

4201120 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 4201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072).

4201120 is an abundant number, since it is smaller than the sum of its proper divisors (8669024).

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

4201120 is a wasteful number, since it uses less digits than its factorization.

4201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4201120 is about 2049.6633869980. The cubic root of 4201120 is about 161.3572049158.

Adding to 4201120 its reverse (211024), we get a palindrome (4412144).

It can be divided in two parts, 420 and 1120, that added together give a triangular number (1540 = T₅₅).

The spelling of 4201120 in words is "four million, two hundred one thousand, one hundred twenty".