12017705072160 has 384 divisors, whose sum is σ = 38905994856960. Its totient is φ = 3117116620800.

The previous prime is 12017705072077. The next prime is 12017705072161. The reversal of 12017705072160 is 6127050771021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12017705072161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1525279101 + ... + 1525286979.

It is an arithmetic number, because the mean of its divisors is an integer number (101317694940).

Almost surely, 2^{12017705072160} is an apocalyptic number.

12017705072160 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 12017705072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452997428480).

12017705072160 is an abundant number, since it is smaller than the sum of its proper divisors (26888289784800).

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

12017705072160 is a wasteful number, since it uses less digits than its factorization.

12017705072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8532 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 39.

The spelling of 12017705072160 in words is "twelve trillion, seventeen billion, seven hundred five million, seventy-two thousand, one hundred sixty".