12120002582688 has 1536 divisors, whose sum is σ = 49691869839360. Its totient is φ = 2772112896000.

The previous prime is 12120002582663. The next prime is 12120002582693. The reversal of 12120002582688 is 88628520002121.

12120002582688 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 0 + 0 + 2 + 582 + 68 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1903562481 + ... + 1903568847.

It is an arithmetic number, because the mean of its divisors is an integer number (32351477760).

Almost surely, 2^{12120002582688} is an apocalyptic number.

12120002582688 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 12120002582688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24845934919680).

12120002582688 is an abundant number, since it is smaller than the sum of its proper divisors (37571867256672).

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

12120002582688 is a wasteful number, since it uses less digits than its factorization.

12120002582688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 12120002582688 in words is "twelve trillion, one hundred twenty billion, two million, five hundred eighty-two thousand, six hundred eighty-eight".