12368302128000 has 5120 divisors, whose sum is σ = 62104154112000. Its totient is φ = 2364899328000.

The previous prime is 12368302127977. The next prime is 12368302128023. The reversal of 12368302128000 is 82120386321.

12368302128000 is a `hidden beast` number, since 1 + 2 + 368 + 3 + 0 + 212 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12368302127977) and next prime (12368302128023).

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 639 ways as a sum of consecutive naturals, for example, 62152271901 + ... + 62152272099.

It is an arithmetic number, because the mean of its divisors is an integer number (12129717600).

Almost surely, 2^{12368302128000} is an apocalyptic number.

12368302128000 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 12368302128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31052077056000).

12368302128000 is an abundant number, since it is smaller than the sum of its proper divisors (49735851984000).

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

12368302128000 is a wasteful number, since it uses less digits than its factorization.

12368302128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 277 counting only the distinct ones).

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

The spelling of 12368302128000 in words is "twelve trillion, three hundred sixty-eight billion, three hundred two million, one hundred twenty-eight thousand".