12327928229232 has 320 divisors, whose sum is σ = 44133345285120. Its totient is φ = 3200891904000.

The previous prime is 12327928229203. The next prime is 12327928229249. The reversal of 12327928229232 is 23292282972321.

12327928229232 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 79 + 282 + 292 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93106308 + ... + 93238620.

It is an arithmetic number, because the mean of its divisors is an integer number (137916704016).

Almost surely, 2^{12327928229232} is an apocalyptic number.

12327928229232 is a gapful number since it is divisible by the number (12) 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 12327928229232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22066672642560).

12327928229232 is an abundant number, since it is smaller than the sum of its proper divisors (31805417055888).

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

12327928229232 is a wasteful number, since it uses less digits than its factorization.

12327928229232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135149 (or 135137 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 12327928229232 in words is "twelve trillion, three hundred twenty-seven billion, nine hundred twenty-eight million, two hundred twenty-nine thousand, two hundred thirty-two".