12109245165360 has 320 divisors, whose sum is σ = 47676079964160. Its totient is φ = 2767366425600.

The previous prime is 12109245165341. The next prime is 12109245165463. The reversal of 12109245165360 is 6356154290121.

It is a happy number.

12109245165360 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 9 + 24 + 516 + 53 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95207569 + ... + 95334671.

It is an arithmetic number, because the mean of its divisors is an integer number (148987749888).

Almost surely, 2^{12109245165360} is an apocalyptic number.

12109245165360 is a gapful number since it is divisible by the number (10) 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 12109245165360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23838039982080).

12109245165360 is an abundant number, since it is smaller than the sum of its proper divisors (35566834798800).

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

12109245165360 is a wasteful number, since it uses less digits than its factorization.

12109245165360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133433 (or 133421 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 12109245165360 in words is "twelve trillion, one hundred nine billion, two hundred forty-five million, one hundred sixty-five thousand, three hundred sixty".