12355684320 has 384 divisors, whose sum is σ = 48727526400. Its totient is φ = 2566029312.

The previous prime is 12355684283. The next prime is 12355684321. The reversal of 12355684320 is 2348655321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355684321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1652751 + ... + 1660209.

It is an arithmetic number, because the mean of its divisors is an integer number (126894600).

Almost surely, 2^12355684320 is an apocalyptic number.

12355684320 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 12355684320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24363763200).

12355684320 is an abundant number, since it is smaller than the sum of its proper divisors (36371842080).

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

12355684320 is a wasteful number, since it uses less digits than its factorization.

12355684320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 12355684320 in words is "twelve billion, three hundred fifty-five million, six hundred eighty-four thousand, three hundred twenty".