12097974095872 has 260 divisors, whose sum is σ = 28331748954116. Its totient is φ = 5164964904960.

The previous prime is 12097974095821. The next prime is 12097974095887. The reversal of 12097974095872 is 27859047979021.

It can be written as a sum of positive squares in 2 ways, for example, as 3296926273536 + 8801047822336 = 1815744^2 + 2966656^2 .

It is a super-3 number, since 3×12097974095872³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2724153172 + ... + 2724157612.

Almost surely, 2^{12097974095872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12097974095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165874477058).

12097974095872 is an abundant number, since it is smaller than the sum of its proper divisors (16233774858244).

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

12097974095872 is an frugal number, since it uses more digits than its factorization.

12097974095872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 70.

The spelling of 12097974095872 in words is "twelve trillion, ninety-seven billion, nine hundred seventy-four million, ninety-five thousand, eight hundred seventy-two".