120013344 has 144 divisors (see below), whose sum is σ = 381405024. Its totient is φ = 35481600.

The previous prime is 120013343. The next prime is 120013363. The reversal of 120013344 is 443310021.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (120013343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135784 + ... + 136664.

It is an arithmetic number, because the mean of its divisors is an integer number (2648646).

Almost surely, 2^120013344 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 120013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190702512).

120013344 is an abundant number, since it is smaller than the sum of its proper divisors (261391680).

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

120013344 is a wasteful number, since it uses less digits than its factorization.

120013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120013344 is about 10955.0602006561. The cubic root of 120013344 is about 493.2606970406.

Adding to 120013344 its reverse (443310021), we get a palindrome (563323365).

The spelling of 120013344 in words is "one hundred twenty million, thirteen thousand, three hundred forty-four".