120302312 has 48 divisors (see below), whose sum is σ = 246951180. Its totient is φ = 54912000.

The previous prime is 120302311. The next prime is 120302333. The reversal of 120302312 is 213203021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28793956 + 91508356 = 5366^2 + 9566^2 .

It is not an unprimeable number, because it can be changed into a prime (120302311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136112 + ... + 136992.

Almost surely, 2^120302312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123475590).

120302312 is an abundant number, since it is smaller than the sum of its proper divisors (126648868).

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

120302312 is a wasteful number, since it uses less digits than its factorization.

120302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 120302312 is about 10968.2410622670. The cubic root of 120302312 is about 493.6562705809.

Adding to 120302312 its reverse (213203021), we get a palindrome (333505333).

The spelling of 120302312 in words is "one hundred twenty million, three hundred two thousand, three hundred twelve".