12106298160 has 480 divisors, whose sum is σ = 45727358976. Its totient is φ = 2845440000.

The previous prime is 12106298143. The next prime is 12106298207. The reversal of 12106298160 is 6189260121.

12106298160 is a `hidden beast` number, since 1 + 2 + 10 + 629 + 8 + 16 + 0 = 666.

12106298160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63383665 + ... + 63383855.

Almost surely, 2^12106298160 is an apocalyptic number.

12106298160 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 12106298160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22863679488).

12106298160 is an abundant number, since it is smaller than the sum of its proper divisors (33621060816).

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

12106298160 is a wasteful number, since it uses less digits than its factorization.

12106298160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 12106298160 in words is "twelve billion, one hundred six million, two hundred ninety-eight thousand, one hundred sixty".