120313011114432 has 84 divisors (see below), whose sum is σ = 345097190231976. Its totient is φ = 40076232814080.

The previous prime is 120313011114409. The next prime is 120313011114433. The reversal of 120313011114432 is 234411110313021.

120313011114432 is a `hidden beast` number, since 1 + 203 + 1 + 3 + 0 + 1 + 1 + 11 + 443 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120313011114396 and 120313011114405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120313011114433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72365419 + ... + 74009322.

It is an arithmetic number, because the mean of its divisors is an integer number (4108299883714).

Almost surely, 2^{120313011114432} is an apocalyptic number.

120313011114432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120313011114432 is an abundant number, since it is smaller than the sum of its proper divisors (224784179117544).

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

120313011114432 is a wasteful number, since it uses less digits than its factorization.

120313011114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146376186 (or 146376173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 120313011114432 its reverse (234411110313021), we get a palindrome (354724121427453).

The spelling of 120313011114432 in words is "one hundred twenty trillion, three hundred thirteen billion, eleven million, one hundred fourteen thousand, four hundred thirty-two".