12002310130320 has 360 divisors, whose sum is σ = 42917485641576. Its totient is φ = 3005365026816.

The previous prime is 12002310130319. The next prime is 12002310130417. The reversal of 12002310130320 is 2303101320021.

12002310130320 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 310 + 1 + 30 + 320 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 123892736256 + 11878417394064 = 351984^2 + 3446508^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×12002310130320³ (a number of 40 digits) contains 333 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 = 12002310130293 and 12002310130302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90032034 + ... + 90165246.

Almost surely, 2^{12002310130320} is an apocalyptic number.

12002310130320 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 12002310130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21458742820788).

12002310130320 is an abundant number, since it is smaller than the sum of its proper divisors (30915175511256).

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

12002310130320 is a wasteful number, since it uses less digits than its factorization.

12002310130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133699 (or 133673 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12002310130320 its reverse (2303101320021), we get a palindrome (14305411450341).

The spelling of 12002310130320 in words is "twelve trillion, two billion, three hundred ten million, one hundred thirty thousand, three hundred twenty".