12231328608 has 288 divisors, whose sum is σ = 38487234240. Its totient is φ = 3671162880.

The previous prime is 12231328583. The next prime is 12231328619. The reversal of 12231328608 is 80682313221.

12231328608 is a `hidden beast` number, since 1 + 2 + 23 + 1 + 3 + 28 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7875160 + ... + 7876712.

It is an arithmetic number, because the mean of its divisors is an integer number (133636230).

Almost surely, 2^12231328608 is an apocalyptic number.

12231328608 is a gapful number since it is divisible by the number (18) 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 12231328608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19243617120).

12231328608 is an abundant number, since it is smaller than the sum of its proper divisors (26255905632).

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

12231328608 is a wasteful number, since it uses less digits than its factorization.

12231328608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12231328608 in words is "twelve billion, two hundred thirty-one million, three hundred twenty-eight thousand, six hundred eight".