120420306 has 48 divisors (see below), whose sum is σ = 273431808. Its totient is φ = 38253600.

The previous prime is 120420241. The next prime is 120420323. The reversal of 120420306 is 603024021.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35776 + ... + 38996.

It is an arithmetic number, because the mean of its divisors is an integer number (5696496).

Almost surely, 2^120420306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120420306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136715904).

120420306 is an abundant number, since it is smaller than the sum of its proper divisors (153011502).

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

120420306 is a wasteful number, since it uses less digits than its factorization.

120420306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3324 counting only the distinct ones).

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

The square root of 120420306 is about 10973.6186374413. The cubic root of 120420306 is about 493.8176125750.

Adding to 120420306 its reverse (603024021), we get a palindrome (723444327).

The spelling of 120420306 in words is "one hundred twenty million, four hundred twenty thousand, three hundred six".