12090452108616 has 240 divisors, whose sum is σ = 40210744813200. Its totient is φ = 3272602689216.

The previous prime is 12090452108611. The next prime is 12090452108627. The reversal of 12090452108616 is 61680125409021.

12090452108616 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 0 + 4 + 5 + 21 + 0 + 8 + 616 = 666.

12090452108616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12090452108616² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12090452108611) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1444075 + ... + 5125061.

It is an arithmetic number, because the mean of its divisors is an integer number (167544770055).

Almost surely, 2^{12090452108616} 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 12090452108616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105372406600).

12090452108616 is an abundant number, since it is smaller than the sum of its proper divisors (28120292704584).

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

12090452108616 is a wasteful number, since it uses less digits than its factorization.

12090452108616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681046 (or 3681018 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12090452108616 in words is "twelve trillion, ninety billion, four hundred fifty-two million, one hundred eight thousand, six hundred sixteen".