12302302320 has 360 divisors, whose sum is σ = 51902698848. Its totient is φ = 2556195840.

The previous prime is 12302302277. The next prime is 12302302333. The reversal of 12302302320 is 2320320321.

It is a happy number.

12302302320 is a `hidden beast` number, since 12 + 30 + 2 + 302 + 320 = 666.

12302302320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×12302302320³ (a number of 31 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 = 12302302293 and 12302302302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 599754 + ... + 619926.

Almost surely, 2^12302302320 is an apocalyptic number.

12302302320 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 12302302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25951349424).

12302302320 is an abundant number, since it is smaller than the sum of its proper divisors (39600396528).

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

12302302320 is a wasteful number, since it uses less digits than its factorization.

12302302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20221 (or 20201 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12302302320 its reverse (2320320321), we get a palindrome (14622622641).

The spelling of 12302302320 in words is "twelve billion, three hundred two million, three hundred two thousand, three hundred twenty".