120112312320 has 2496 divisors, whose sum is σ = 602396282880. Its totient is φ = 22295347200.

The previous prime is 120112312267. The next prime is 120112312357. The reversal of 120112312320 is 23213211021.

120112312320 is a `hidden beast` number, since 1 + 20 + 1 + 12 + 312 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120112312293 and 120112312302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3874590705 + ... + 3874590735.

Almost surely, 2^120112312320 is an apocalyptic number.

120112312320 is a gapful number since it is divisible by the number (10) 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 120112312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301198141440).

120112312320 is an abundant number, since it is smaller than the sum of its proper divisors (482283970560).

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

120112312320 is a wasteful number, since it uses less digits than its factorization.

120112312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120112312320 its reverse (23213211021), we get a palindrome (143325523341).

The spelling of 120112312320 in words is "one hundred twenty billion, one hundred twelve million, three hundred twelve thousand, three hundred twenty".