120405312 has 112 divisors (see below), whose sum is σ = 360273600. Its totient is φ = 39421440.

The previous prime is 120405301. The next prime is 120405317. The reversal of 120405312 is 213504021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120405317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101362 + ... + 102542.

Almost surely, 2^120405312 is an apocalyptic number.

120405312 is a gapful number since it is divisible by the number (12) 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 120405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180136800).

120405312 is an abundant number, since it is smaller than the sum of its proper divisors (239868288).

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

120405312 is a wasteful number, since it uses less digits than its factorization.

120405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120405312 is about 10972.9354322351. The cubic root of 120405312 is about 493.7971160080.

Adding to 120405312 its reverse (213504021), we get a palindrome (333909333).

The spelling of 120405312 in words is "one hundred twenty million, four hundred five thousand, three hundred twelve".