120224413344 has 144 divisors (see below), whose sum is σ = 369368421408. Its totient is φ = 34138879488.

The previous prime is 120224413313. The next prime is 120224413363. The reversal of 120224413344 is 443314422021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688354 + ... + 845150.

It is an arithmetic number, because the mean of its divisors is an integer number (2565058482).

Almost surely, 2^120224413344 is an apocalyptic number.

120224413344 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 120224413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184684210704).

120224413344 is an abundant number, since it is smaller than the sum of its proper divisors (249144008064).

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

120224413344 is a wasteful number, since it uses less digits than its factorization.

120224413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156987 (or 156972 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 120224413344 its reverse (443314422021), we get a palindrome (563538835365).

The spelling of 120224413344 in words is "one hundred twenty billion, two hundred twenty-four million, four hundred thirteen thousand, three hundred forty-four".