120440511205344 has 216 divisors, whose sum is σ = 390413247227640. Its totient is φ = 36497124322560.

The previous prime is 120440511205309. The next prime is 120440511205367. The reversal of 120440511205344 is 443502115044021.

120440511205344 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 4 + 0 + 5 + 112 + 0 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 120440511205299 and 120440511205308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63062199 + ... + 64943990.

It is an arithmetic number, because the mean of its divisors is an integer number (1807468737165).

Almost surely, 2^{120440511205344} is an apocalyptic number.

It is an amenable number.

120440511205344 is an abundant number, since it is smaller than the sum of its proper divisors (269972736022296).

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

120440511205344 is a wasteful number, since it uses less digits than its factorization.

120440511205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128006236 (or 128006205 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 120440511205344 its reverse (443502115044021), we get a palindrome (563942626249365).

The spelling of 120440511205344 in words is "one hundred twenty trillion, four hundred forty billion, five hundred eleven million, two hundred five thousand, three hundred forty-four".