120123312 has 80 divisors (see below), whose sum is σ = 321169920. Its totient is φ = 38658816.

The previous prime is 120123299. The next prime is 120123337. The reversal of 120123312 is 213321021.

It is a super-2 number, since 2×120123312² = 28859220171698688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120123291 and 120123300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424323 + ... + 424605.

It is an arithmetic number, because the mean of its divisors is an integer number (4014624).

Almost surely, 2^120123312 is an apocalyptic number.

120123312 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 120123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160584960).

120123312 is an abundant number, since it is smaller than the sum of its proper divisors (201046608).

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

120123312 is a wasteful number, since it uses less digits than its factorization.

120123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 120123312 is about 10960.0781019115. The cubic root of 120123312 is about 493.4113089959.

Adding to 120123312 its reverse (213321021), we get a palindrome (333444333).

The spelling of 120123312 in words is "one hundred twenty million, one hundred twenty-three thousand, three hundred twelve".