12075681365184 has 224 divisors, whose sum is σ = 35002506697920. Its totient is φ = 3657154428928.

The previous prime is 12075681365177. The next prime is 12075681365207. The reversal of 12075681365184 is 48156318657021.

It is a happy number.

It is a super-2 number, since 2×12075681365184² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890990152 + ... + 891003704.

Almost surely, 2^{12075681365184} 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 12075681365184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501253348960).

12075681365184 is an abundant number, since it is smaller than the sum of its proper divisors (22926825332736).

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

12075681365184 is a wasteful number, since it uses less digits than its factorization.

12075681365184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23027 (or 23017 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

It can be divided in two parts, 1207568 and 1365184, that added together give a palindrome (2572752).

The spelling of 12075681365184 in words is "twelve trillion, seventy-five billion, six hundred eighty-one million, three hundred sixty-five thousand, one hundred eighty-four".