4227120 has 160 divisors (see below), whose sum is σ = 15475200. Its totient is φ = 1057536.

The previous prime is 4227109. The next prime is 4227137. The reversal of 4227120 is 217224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 4¹¹ + 2³ + 2⁵ + 7 + 1 + 2¹⁵ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4227093 and 4227102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40989 + ... + 41091.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 2^4227120 is an apocalyptic number.

4227120 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 4227120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737600).

4227120 is an abundant number, since it is smaller than the sum of its proper divisors (11248080).

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

4227120 is a wasteful number, since it uses less digits than its factorization.

4227120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4227120 is about 2055.9961089457. The cubic root of 4227120 is about 161.6893911208.

The spelling of 4227120 in words is "four million, two hundred twenty-seven thousand, one hundred twenty".