12162346560 has 896 divisors, whose sum is σ = 54620160000. Its totient is φ = 2478366720.

The previous prime is 12162346543. The next prime is 12162346577. The reversal of 12162346560 is 6564326121.

12162346560 is a `hidden beast` number, since 1 + 2 + 1 + 62 + 34 + 6 + 560 = 666.

12162346560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12162346543) and next prime (12162346577).

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 127 ways as a sum of consecutive naturals, for example, 24373191 + ... + 24373689.

It is an arithmetic number, because the mean of its divisors is an integer number (60960000).

Almost surely, 2^12162346560 is an apocalyptic number.

12162346560 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 12162346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310080000).

12162346560 is an abundant number, since it is smaller than the sum of its proper divisors (42457813440).

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

12162346560 is a wasteful number, since it uses less digits than its factorization.

12162346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12162346560 in words is "twelve billion, one hundred sixty-two million, three hundred forty-six thousand, five hundred sixty".