120320226 has 72 divisors (see below), whose sum is σ = 290190420. Its totient is φ = 35987328.

The previous prime is 120320219. The next prime is 120320227. The reversal of 120320226 is 622023021.

120320226 is a `hidden beast` number, since 120 + 320 + 226 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39050001 + 81270225 = 6249^2 + 9015^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120320199 and 120320208.

It is not an unprimeable number, because it can be changed into a prime (120320227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112020 + ... + 113088.

Almost surely, 2^120320226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120320226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145095210).

120320226 is an abundant number, since it is smaller than the sum of its proper divisors (169870194).

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

120320226 is a wasteful number, since it uses less digits than its factorization.

120320226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120320226 is about 10969.0576623519. The cubic root of 120320226 is about 493.6807725193.

Adding to 120320226 its reverse (622023021), we get a palindrome (742343247).

The spelling of 120320226 in words is "one hundred twenty million, three hundred twenty thousand, two hundred twenty-six".