120003312 has 80 divisors (see below), whose sum is σ = 364226688. Its totient is φ = 33565440.

The previous prime is 120003307. The next prime is 120003319. The reversal of 120003312 is 213300021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120003319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878 + ... + 15605.

Almost surely, 2^120003312 is an apocalyptic number.

120003312 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 120003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182113344).

120003312 is an abundant number, since it is smaller than the sum of its proper divisors (244223376).

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

120003312 is a wasteful number, since it uses less digits than its factorization.

120003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17518 (or 17512 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 120003312 is about 10954.6023204861. The cubic root of 120003312 is about 493.2469526546.

Adding to 120003312 its reverse (213300021), we get a palindrome (333303333).

The spelling of 120003312 in words is "one hundred twenty million, three thousand, three hundred twelve".