12057795698688 has 336 divisors, whose sum is σ = 35057706465600. Its totient is φ = 3993255936000.

The previous prime is 12057795698653. The next prime is 12057795698699. The reversal of 12057795698688 is 88689659775021.

It is a super-2 number, since 2×12057795698688² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13120560693 + ... + 13120561611.

It is an arithmetic number, because the mean of its divisors is an integer number (104338412100).

Almost surely, 2^{12057795698688} is an apocalyptic number.

12057795698688 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 12057795698688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528853232800).

12057795698688 is an abundant number, since it is smaller than the sum of its proper divisors (22999910766912).

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

12057795698688 is an equidigital number, since it uses as much as digits as its factorization.

12057795698688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 3657830400, while the sum is 81.

The spelling of 12057795698688 in words is "twelve trillion, fifty-seven billion, seven hundred ninety-five million, six hundred ninety-eight thousand, six hundred eighty-eight".