12339523200 has 384 divisors, whose sum is σ = 42497280000. Its totient is φ = 3143024640.

The previous prime is 12339523187. The next prime is 12339523201. The reversal of 12339523200 is 232593321.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12339523201) 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 47 ways as a sum of consecutive naturals, for example, 35356626 + ... + 35356974.

It is an arithmetic number, because the mean of its divisors is an integer number (110670000).

Almost surely, 2^12339523200 is an apocalyptic number.

12339523200 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 12339523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248640000).

12339523200 is an abundant number, since it is smaller than the sum of its proper divisors (30157756800).

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

12339523200 is a wasteful number, since it uses less digits than its factorization.

12339523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 12339523200 in words is "twelve billion, three hundred thirty-nine million, five hundred twenty-three thousand, two hundred".