120133344 has 48 divisors (see below), whose sum is σ = 317157120. Its totient is φ = 39815040.

The previous prime is 120133337. The next prime is 120133361. The reversal of 120133344 is 443331021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×120133344⁴ (a number of 33 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120133344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13689 + ... + 20679.

It is an arithmetic number, because the mean of its divisors is an integer number (6607440).

Almost surely, 2^120133344 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 120133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560).

120133344 is an abundant number, since it is smaller than the sum of its proper divisors (197023776).

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

120133344 is a wasteful number, since it uses less digits than its factorization.

120133344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7183 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 120133344 is about 10960.5357533288. The cubic root of 120133344 is about 493.4250442273.

Adding to 120133344 its reverse (443331021), we get a palindrome (563464365).

The spelling of 120133344 in words is "one hundred twenty million, one hundred thirty-three thousand, three hundred forty-four".