12006497160 has 320 divisors, whose sum is σ = 47610731520. Its totient is φ = 2655659520.

The previous prime is 12006497047. The next prime is 12006497177. The reversal of 12006497160 is 6179460021.

12006497160 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 6 + 497 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 694542 + ... + 711618.

It is an arithmetic number, because the mean of its divisors is an integer number (148783536).

Almost surely, 2^12006497160 is an apocalyptic number.

12006497160 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 12006497160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23805365760).

12006497160 is an abundant number, since it is smaller than the sum of its proper divisors (35604234360).

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

12006497160 is a wasteful number, since it uses less digits than its factorization.

12006497160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17138 (or 17125 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12006497160 in words is "twelve billion, six million, four hundred ninety-seven thousand, one hundred sixty".