12328299360 has 768 divisors, whose sum is σ = 50676192000. Its totient is φ = 2770993152.

The previous prime is 12328299311. The next prime is 12328299367. The reversal of 12328299360 is 6399282321.

It is a happy number.

12328299360 is a `hidden beast` number, since 1 + 2 + 3 + 282 + 9 + 9 + 360 = 666.

It is a super-3 number, since 3×12328299360³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12328299367) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 35324466 + ... + 35324814.

It is an arithmetic number, because the mean of its divisors is an integer number (65984625).

Almost surely, 2^12328299360 is an apocalyptic number.

12328299360 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 12328299360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25338096000).

12328299360 is an abundant number, since it is smaller than the sum of its proper divisors (38347892640).

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

12328299360 is a wasteful number, since it uses less digits than its factorization.

12328299360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12328299360 in words is "twelve billion, three hundred twenty-eight million, two hundred ninety-nine thousand, three hundred sixty".