120333444 has 96 divisors (see below), whose sum is σ = 361439232. Its totient is φ = 30240000.

The previous prime is 120333431. The next prime is 120333461. The reversal of 120333444 is 444333021.

It is a super-3 number, since 3×120333444³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26544 + ... + 30744.

It is an arithmetic number, because the mean of its divisors is an integer number (3764992).

Almost surely, 2^120333444 is an apocalyptic number.

120333444 is a gapful number since it is divisible by the number (14) 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 120333444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180719616).

120333444 is an abundant number, since it is smaller than the sum of its proper divisors (241105788).

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

120333444 is a wasteful number, since it uses less digits than its factorization.

120333444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 120333444 is about 10969.6601588199. The cubic root of 120333444 is about 493.6988499275.

Adding to 120333444 its reverse (444333021), we get a palindrome (564666465).

The spelling of 120333444 in words is "one hundred twenty million, three hundred thirty-three thousand, four hundred forty-four".