12320120110320 has 240 divisors, whose sum is σ = 45160389237600. Its totient is φ = 2985111060480.

The previous prime is 12320120110301. The next prime is 12320120110321. The reversal of 12320120110320 is 2301102102321.

12320120110320 is a `hidden beast` number, since 1 + 2 + 320 + 1 + 20 + 1 + 1 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12320120110320² (a number of 27 digits) contains 22 as substring.

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 = 12320120110293 and 12320120110302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320120110321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14549136 + ... + 15372624.

It is an arithmetic number, because the mean of its divisors is an integer number (188168288490).

Almost surely, 2^{12320120110320} is an apocalyptic number.

12320120110320 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 12320120110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580194618800).

12320120110320 is an abundant number, since it is smaller than the sum of its proper divisors (32840269127280).

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

12320120110320 is a wasteful number, since it uses less digits than its factorization.

12320120110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825408 (or 825399 counting only the distinct ones).

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

Adding to 12320120110320 its reverse (2301102102321), we get a palindrome (14621222212641).

The spelling of 12320120110320 in words is "twelve trillion, three hundred twenty billion, one hundred twenty million, one hundred ten thousand, three hundred twenty".