120132142224324 has 96 divisors (see below), whose sum is σ = 299189027020800. Its totient is φ = 37407033480960.

The previous prime is 120132142224319. The next prime is 120132142224331. The reversal of 120132142224324 is 423422241231021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9325029 + ... + 18089235.

It is an arithmetic number, because the mean of its divisors is an integer number (3116552364800).

Almost surely, 2^{120132142224324} 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 120132142224324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149594513510400).

120132142224324 is an abundant number, since it is smaller than the sum of its proper divisors (179056884796476).

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

120132142224324 is a wasteful number, since it uses less digits than its factorization.

120132142224324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765073 (or 8765071 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 120132142224324 its reverse (423422241231021), we get a palindrome (543554383455345).

The spelling of 120132142224324 in words is "one hundred twenty trillion, one hundred thirty-two billion, one hundred forty-two million, two hundred twenty-four thousand, three hundred twenty-four".