12356104320 has 576 divisors, whose sum is σ = 51736276800. Its totient is φ = 2654539776.

The previous prime is 12356104249. The next prime is 12356104331. The reversal of 12356104320 is 2340165321.

12356104320 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 610 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97292097 + ... + 97292223.

It is an arithmetic number, because the mean of its divisors is an integer number (89819925).

Almost surely, 2^12356104320 is an apocalyptic number.

12356104320 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 12356104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25868138400).

12356104320 is an abundant number, since it is smaller than the sum of its proper divisors (39380172480).

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

12356104320 is a wasteful number, since it uses less digits than its factorization.

12356104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12356104320 its reverse (2340165321), we get a palindrome (14696269641).

The spelling of 12356104320 in words is "twelve billion, three hundred fifty-six million, one hundred four thousand, three hundred twenty".