12106016040960 has 1920 divisors, whose sum is σ = 46927451450880. Its totient is φ = 2978021376000.

The previous prime is 12106016040919. The next prime is 12106016040961. The reversal of 12106016040960 is 6904061060121.

12106016040960 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 601 + 6 + 0 + 40 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (12106016040961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117534136269 + ... + 117534136371.

It is an arithmetic number, because the mean of its divisors is an integer number (24441380964).

Almost surely, 2^{12106016040960} is an apocalyptic number.

12106016040960 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 12106016040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23463725725440).

12106016040960 is an abundant number, since it is smaller than the sum of its proper divisors (34821435409920).

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

12106016040960 is a wasteful number, since it uses less digits than its factorization.

12106016040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12106016040960 in words is "twelve trillion, one hundred six billion, sixteen million, forty thousand, nine hundred sixty".