120444014124324 has 384 divisors, whose sum is σ = 365353132032000. Its totient is φ = 33953876006400.

The previous prime is 120444014124323. The next prime is 120444014124517. The reversal of 120444014124324 is 423421410444021.

120444014124324 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 4 + 401 + 4 + 1 + 243 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120444014124323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244328517 + ... + 244820979.

It is an arithmetic number, because the mean of its divisors is an integer number (951440448000).

Almost surely, 2^{120444014124324} 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 120444014124324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182676566016000).

120444014124324 is an abundant number, since it is smaller than the sum of its proper divisors (244909117907676).

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

120444014124324 is a wasteful number, since it uses less digits than its factorization.

120444014124324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492776 (or 492768 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 120444014124324 its reverse (423421410444021), we get a palindrome (543865424568345).

The spelling of 120444014124324 in words is "one hundred twenty trillion, four hundred forty-four billion, fourteen million, one hundred twenty-four thousand, three hundred twenty-four".