12162908160 has 720 divisors, whose sum is σ = 48090422016. Its totient is φ = 2930245632.

The previous prime is 12162908143. The next prime is 12162908167. The reversal of 12162908160 is 6180926121.

12162908160 is a `hidden beast` number, since 1 + 21 + 629 + 0 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12162908167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258785257 + ... + 258785303.

Almost surely, 2^12162908160 is an apocalyptic number.

12162908160 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 12162908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24045211008).

12162908160 is an abundant number, since it is smaller than the sum of its proper divisors (35927513856).

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

12162908160 is an frugal number, since it uses more digits than its factorization.

12162908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

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

The spelling of 12162908160 in words is "twelve billion, one hundred sixty-two million, nine hundred eight thousand, one hundred sixty".